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Finding the Fourth Proportional to 142,532.68, 213,738.80 and 42,707.02

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Solution

The fourth proportional to 142,532.68, 213,738.80 and 42,707.02 is: 64,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,532.68 : 213,738.80 = 42,707.02 : x
  2. Step 2: Convert to fraction form
    142,532.68/213,738.80 = 42,707.02/x
  3. Step 3: Cross multiply
    142,532.68x = 213,738.80 × 42,707.02
  4. Step 4: Simplify right side
    142,532.68x = 9,128,147,206.38
  5. Step 5: Solve for x
    x = 9,128,147,206.38/142,532.68
  6. Step 6: Final answer
    x = 64,042.49

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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.