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Finding the Fourth Proportional to 51,646.70, 71,287.72 and 30,432.80

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Solution

The fourth proportional to 51,646.70, 71,287.72 and 30,432.80 is: 42,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,646.70 : 71,287.72 = 30,432.80 : x
  2. Step 2: Convert to fraction form
    51,646.70/71,287.72 = 30,432.80/x
  3. Step 3: Cross multiply
    51,646.70x = 71,287.72 × 30,432.80
  4. Step 4: Simplify right side
    51,646.70x = 2,169,484,925.22
  5. Step 5: Solve for x
    x = 2,169,484,925.22/51,646.70
  6. Step 6: Final answer
    x = 42,006.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.