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Finding the Fourth Proportional to 145,068, 217,633.20 and 45,226.08

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Solution

The fourth proportional to 145,068, 217,633.20 and 45,226.08 is: 67,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,068 : 217,633.20 = 45,226.08 : x
  2. Step 2: Convert to fraction form
    145,068/217,633.20 = 45,226.08/x
  3. Step 3: Cross multiply
    145,068x = 217,633.20 × 45,226.08
  4. Step 4: Simplify right side
    145,068x = 9,842,696,513.86
  5. Step 5: Solve for x
    x = 9,842,696,513.86/145,068
  6. Step 6: Final answer
    x = 67,848.85

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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.