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Finding the Fourth Proportional to 72,963, 100,688.94 and 39,429

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Solution

The fourth proportional to 72,963, 100,688.94 and 39,429 is: 54,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,963 : 100,688.94 = 39,429 : x
  2. Step 2: Convert to fraction form
    72,963/100,688.94 = 39,429/x
  3. Step 3: Cross multiply
    72,963x = 100,688.94 × 39,429
  4. Step 4: Simplify right side
    72,963x = 3,970,064,215.26
  5. Step 5: Solve for x
    x = 3,970,064,215.26/72,963
  6. Step 6: Final answer
    x = 54,412.02

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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.