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Finding the Fourth Proportional to 142,330.56, 213,488.54 and 42,491.58

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Solution

The fourth proportional to 142,330.56, 213,488.54 and 42,491.58 is: 63,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,330.56 : 213,488.54 = 42,491.58 : x
  2. Step 2: Convert to fraction form
    142,330.56/213,488.54 = 42,491.58/x
  3. Step 3: Cross multiply
    142,330.56x = 213,488.54 × 42,491.58
  4. Step 4: Simplify right side
    142,330.56x = 9,071,465,376.49
  5. Step 5: Solve for x
    x = 9,071,465,376.49/142,330.56
  6. Step 6: Final answer
    x = 63,735.19

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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.