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Finding the Fourth Proportional to 78,168.92, 107,872.66 and 42,358.93

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Solution

The fourth proportional to 78,168.92, 107,872.66 and 42,358.93 is: 58,455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,168.92 : 107,872.66 = 42,358.93 : x
  2. Step 2: Convert to fraction form
    78,168.92/107,872.66 = 42,358.93/x
  3. Step 3: Cross multiply
    78,168.92x = 107,872.66 × 42,358.93
  4. Step 4: Simplify right side
    78,168.92x = 4,569,370,347.96
  5. Step 5: Solve for x
    x = 4,569,370,347.96/78,168.92
  6. Step 6: Final answer
    x = 58,455.08

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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.