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Finding the Fourth Proportional to 85,885,715.20, 119,984,909.60 and 85,885,715.20

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Solution

The fourth proportional to 85,885,715.20, 119,984,909.60 and 85,885,715.20 is: 119,984,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,885,715.20 : 119,984,909.60 = 85,885,715.20 : x
  2. Step 2: Convert to fraction form
    85,885,715.20/119,984,909.60 = 85,885,715.20/x
  3. Step 3: Cross multiply
    85,885,715.20x = 119,984,909.60 × 85,885,715.20
  4. Step 4: Simplify right side
    85,885,715.20x = 10,304,989,774,203,346
  5. Step 5: Solve for x
    x = 10,304,989,774,203,346/85,885,715.20
  6. Step 6: Final answer
    x = 119,984,909.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.