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Finding the Fourth Proportional to 278,127, 417,203.50 and 81,135

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Solution

The fourth proportional to 278,127, 417,203.50 and 81,135 is: 121,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,127 : 417,203.50 = 81,135 : x
  2. Step 2: Convert to fraction form
    278,127/417,203.50 = 81,135/x
  3. Step 3: Cross multiply
    278,127x = 417,203.50 × 81,135
  4. Step 4: Simplify right side
    278,127x = 33,849,805,972.50
  5. Step 5: Solve for x
    x = 33,849,805,972.50/278,127
  6. Step 6: Final answer
    x = 121,706.29

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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.