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Finding the Fourth Proportional to 78,353.16, 108,127.79 and 42,543.17

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Solution

The fourth proportional to 78,353.16, 108,127.79 and 42,543.17 is: 58,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,353.16 : 108,127.79 = 42,543.17 : x
  2. Step 2: Convert to fraction form
    78,353.16/108,127.79 = 42,543.17/x
  3. Step 3: Cross multiply
    78,353.16x = 108,127.79 × 42,543.17
  4. Step 4: Simplify right side
    78,353.16x = 4,600,099,232.30
  5. Step 5: Solve for x
    x = 4,600,099,232.30/78,353.16
  6. Step 6: Final answer
    x = 58,709.81

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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.