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Finding the Fourth Proportional to 72,006.40, 108,139.20 and 52,307.20

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Solution

The fourth proportional to 72,006.40, 108,139.20 and 52,307.20 is: 78,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,006.40 : 108,139.20 = 52,307.20 : x
  2. Step 2: Convert to fraction form
    72,006.40/108,139.20 = 52,307.20/x
  3. Step 3: Cross multiply
    72,006.40x = 108,139.20 × 52,307.20
  4. Step 4: Simplify right side
    72,006.40x = 5,656,458,762.24
  5. Step 5: Solve for x
    x = 5,656,458,762.24/72,006.40
  6. Step 6: Final answer
    x = 78,554.94

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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.