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Finding the Fourth Proportional to 149,376.64, 224,064.96 and 38,560

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Solution

The fourth proportional to 149,376.64, 224,064.96 and 38,560 is: 57,840

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,376.64 : 224,064.96 = 38,560 : x
  2. Step 2: Convert to fraction form
    149,376.64/224,064.96 = 38,560/x
  3. Step 3: Cross multiply
    149,376.64x = 224,064.96 × 38,560
  4. Step 4: Simplify right side
    149,376.64x = 8,639,944,857.60
  5. Step 5: Solve for x
    x = 8,639,944,857.60/149,376.64
  6. Step 6: Final answer
    x = 57,840

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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.