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Finding the Fourth Proportional to 146,937.72, 202,774.86 and 86,511

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Solution

The fourth proportional to 146,937.72, 202,774.86 and 86,511 is: 119,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,937.72 : 202,774.86 = 86,511 : x
  2. Step 2: Convert to fraction form
    146,937.72/202,774.86 = 86,511/x
  3. Step 3: Cross multiply
    146,937.72x = 202,774.86 × 86,511
  4. Step 4: Simplify right side
    146,937.72x = 17,542,255,913.46
  5. Step 5: Solve for x
    x = 17,542,255,913.46/146,937.72
  6. Step 6: Final answer
    x = 119,385.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.