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Finding the Fourth Proportional to 125,908.13, 188,862.20 and 42,802.13

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Solution

The fourth proportional to 125,908.13, 188,862.20 and 42,802.13 is: 64,203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,908.13 : 188,862.20 = 42,802.13 : x
  2. Step 2: Convert to fraction form
    125,908.13/188,862.20 = 42,802.13/x
  3. Step 3: Cross multiply
    125,908.13x = 188,862.20 × 42,802.13
  4. Step 4: Simplify right side
    125,908.13x = 8,083,703,278.16
  5. Step 5: Solve for x
    x = 8,083,703,278.16/125,908.13
  6. Step 6: Final answer
    x = 64,203.19

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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.