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Finding the Fourth Proportional to 78,197.86, 107,913.12 and 42,387.84

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Solution

The fourth proportional to 78,197.86, 107,913.12 and 42,387.84 is: 58,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197.86 : 107,913.12 = 42,387.84 : x
  2. Step 2: Convert to fraction form
    78,197.86/107,913.12 = 42,387.84/x
  3. Step 3: Cross multiply
    78,197.86x = 107,913.12 × 42,387.84
  4. Step 4: Simplify right side
    78,197.86x = 4,574,204,064.46
  5. Step 5: Solve for x
    x = 4,574,204,064.46/78,197.86
  6. Step 6: Final answer
    x = 58,495.26

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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.