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Finding the Fourth Proportional to 66,915, 100,411.38 and 29,979

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Solution

The fourth proportional to 66,915, 100,411.38 and 29,979 is: 44,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,915 : 100,411.38 = 29,979 : x
  2. Step 2: Convert to fraction form
    66,915/100,411.38 = 29,979/x
  3. Step 3: Cross multiply
    66,915x = 100,411.38 × 29,979
  4. Step 4: Simplify right side
    66,915x = 3,010,232,761.02
  5. Step 5: Solve for x
    x = 3,010,232,761.02/66,915
  6. Step 6: Final answer
    x = 44,985.92

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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.