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Finding the Fourth Proportional to 77,866, 107,455.08 and 42,538

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Solution

The fourth proportional to 77,866, 107,455.08 and 42,538 is: 58,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,866 : 107,455.08 = 42,538 : x
  2. Step 2: Convert to fraction form
    77,866/107,455.08 = 42,538/x
  3. Step 3: Cross multiply
    77,866x = 107,455.08 × 42,538
  4. Step 4: Simplify right side
    77,866x = 4,570,924,193.04
  5. Step 5: Solve for x
    x = 4,570,924,193.04/77,866
  6. Step 6: Final answer
    x = 58,702.44

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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.