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Finding the Fourth Proportional to 72,434.80, 108,700.80 and 42,821.20

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Solution

The fourth proportional to 72,434.80, 108,700.80 and 42,821.20 is: 64,260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,434.80 : 108,700.80 = 42,821.20 : x
  2. Step 2: Convert to fraction form
    72,434.80/108,700.80 = 42,821.20/x
  3. Step 3: Cross multiply
    72,434.80x = 108,700.80 × 42,821.20
  4. Step 4: Simplify right side
    72,434.80x = 4,654,698,696.96
  5. Step 5: Solve for x
    x = 4,654,698,696.96/72,434.80
  6. Step 6: Final answer
    x = 64,260.53

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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.