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Finding the Fourth Proportional to 70,814.66, 97,724.88 and 38,984.09

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Solution

The fourth proportional to 70,814.66, 97,724.88 and 38,984.09 is: 53,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,814.66 : 97,724.88 = 38,984.09 : x
  2. Step 2: Convert to fraction form
    70,814.66/97,724.88 = 38,984.09/x
  3. Step 3: Cross multiply
    70,814.66x = 97,724.88 × 38,984.09
  4. Step 4: Simplify right side
    70,814.66x = 3,809,715,028.53
  5. Step 5: Solve for x
    x = 3,809,715,028.53/70,814.66
  6. Step 6: Final answer
    x = 53,798.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.