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Finding the Fourth Proportional to 42,772.66, 64,159.02 and 11,607.91

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Solution

The fourth proportional to 42,772.66, 64,159.02 and 11,607.91 is: 17,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,772.66 : 64,159.02 = 11,607.91 : x
  2. Step 2: Convert to fraction form
    42,772.66/64,159.02 = 11,607.91/x
  3. Step 3: Cross multiply
    42,772.66x = 64,159.02 × 11,607.91
  4. Step 4: Simplify right side
    42,772.66x = 744,751,751.01
  5. Step 5: Solve for x
    x = 744,751,751.01/42,772.66
  6. Step 6: Final answer
    x = 17,411.87

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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.