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Finding the Fourth Proportional to 75,165.98, 112,651.76 and 67,224.74

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Solution

The fourth proportional to 75,165.98, 112,651.76 and 67,224.74 is: 100,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,165.98 : 112,651.76 = 67,224.74 : x
  2. Step 2: Convert to fraction form
    75,165.98/112,651.76 = 67,224.74/x
  3. Step 3: Cross multiply
    75,165.98x = 112,651.76 × 67,224.74
  4. Step 4: Simplify right side
    75,165.98x = 7,572,984,881.35
  5. Step 5: Solve for x
    x = 7,572,984,881.35/75,165.98
  6. Step 6: Final answer
    x = 100,750.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.