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Finding the Fourth Proportional to 42,864.64, 64,192.64 and 29,680

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Solution

The fourth proportional to 42,864.64, 64,192.64 and 29,680 is: 44,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,864.64 : 64,192.64 = 29,680 : x
  2. Step 2: Convert to fraction form
    42,864.64/64,192.64 = 29,680/x
  3. Step 3: Cross multiply
    42,864.64x = 64,192.64 × 29,680
  4. Step 4: Simplify right side
    42,864.64x = 1,905,237,555.20
  5. Step 5: Solve for x
    x = 1,905,237,555.20/42,864.64
  6. Step 6: Final answer
    x = 44,447.77

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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.