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Finding the Fourth Proportional to 123,491.80, 185,280.90 and 53,421.40

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Solution

The fourth proportional to 123,491.80, 185,280.90 and 53,421.40 is: 80,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,491.80 : 185,280.90 = 53,421.40 : x
  2. Step 2: Convert to fraction form
    123,491.80/185,280.90 = 53,421.40/x
  3. Step 3: Cross multiply
    123,491.80x = 185,280.90 × 53,421.40
  4. Step 4: Simplify right side
    123,491.80x = 9,897,965,071.26
  5. Step 5: Solve for x
    x = 9,897,965,071.26/123,491.80
  6. Step 6: Final answer
    x = 80,150.79

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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.