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Finding the Fourth Proportional to 72,140.40, 108,129.60 and 34,718.40

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Solution

The fourth proportional to 72,140.40, 108,129.60 and 34,718.40 is: 52,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,140.40 : 108,129.60 = 34,718.40 : x
  2. Step 2: Convert to fraction form
    72,140.40/108,129.60 = 34,718.40/x
  3. Step 3: Cross multiply
    72,140.40x = 108,129.60 × 34,718.40
  4. Step 4: Simplify right side
    72,140.40x = 3,754,086,704.64
  5. Step 5: Solve for x
    x = 3,754,086,704.64/72,140.40
  6. Step 6: Final answer
    x = 52,038.62

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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.