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Finding the Fourth Proportional to 72,053.40, 108,209.70 and 52,354.20

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Solution

The fourth proportional to 72,053.40, 108,209.70 and 52,354.20 is: 78,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,053.40 : 108,209.70 = 52,354.20 : x
  2. Step 2: Convert to fraction form
    72,053.40/108,209.70 = 52,354.20/x
  3. Step 3: Cross multiply
    72,053.40x = 108,209.70 × 52,354.20
  4. Step 4: Simplify right side
    72,053.40x = 5,665,232,275.74
  5. Step 5: Solve for x
    x = 5,665,232,275.74/72,053.40
  6. Step 6: Final answer
    x = 78,625.47

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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.