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Finding the Fourth Proportional to 145,853.64, 218,737.56 and 74,732.40

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Solution

The fourth proportional to 145,853.64, 218,737.56 and 74,732.40 is: 112,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,853.64 : 218,737.56 = 74,732.40 : x
  2. Step 2: Convert to fraction form
    145,853.64/218,737.56 = 74,732.40/x
  3. Step 3: Cross multiply
    145,853.64x = 218,737.56 × 74,732.40
  4. Step 4: Simplify right side
    145,853.64x = 16,346,782,828.94
  5. Step 5: Solve for x
    x = 16,346,782,828.94/145,853.64
  6. Step 6: Final answer
    x = 112,076.62

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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.