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Finding the Fourth Proportional to 153,771, 230,671.62 and 42,963

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Solution

The fourth proportional to 153,771, 230,671.62 and 42,963 is: 64,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,771 : 230,671.62 = 42,963 : x
  2. Step 2: Convert to fraction form
    153,771/230,671.62 = 42,963/x
  3. Step 3: Cross multiply
    153,771x = 230,671.62 × 42,963
  4. Step 4: Simplify right side
    153,771x = 9,910,344,810.06
  5. Step 5: Solve for x
    x = 9,910,344,810.06/153,771
  6. Step 6: Final answer
    x = 64,448.72

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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.