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Finding the Fourth Proportional to 138,862.88, 191,639.04 and 78,411.32

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Solution

The fourth proportional to 138,862.88, 191,639.04 and 78,411.32 is: 108,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,862.88 : 191,639.04 = 78,411.32 : x
  2. Step 2: Convert to fraction form
    138,862.88/191,639.04 = 78,411.32/x
  3. Step 3: Cross multiply
    138,862.88x = 191,639.04 × 78,411.32
  4. Step 4: Simplify right side
    138,862.88x = 15,026,670,089.93
  5. Step 5: Solve for x
    x = 15,026,670,089.93/138,862.88
  6. Step 6: Final answer
    x = 108,212.29

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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.