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Finding the Fourth Proportional to 123,533.60, 185,300.40 and 121,565.30

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Solution

The fourth proportional to 123,533.60, 185,300.40 and 121,565.30 is: 182,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,533.60 : 185,300.40 = 121,565.30 : x
  2. Step 2: Convert to fraction form
    123,533.60/185,300.40 = 121,565.30/x
  3. Step 3: Cross multiply
    123,533.60x = 185,300.40 × 121,565.30
  4. Step 4: Simplify right side
    123,533.60x = 22,526,098,716.12
  5. Step 5: Solve for x
    x = 22,526,098,716.12/123,533.60
  6. Step 6: Final answer
    x = 182,347.95

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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.