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Finding the Fourth Proportional to 77,620, 107,115.60 and 42,292

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Solution

The fourth proportional to 77,620, 107,115.60 and 42,292 is: 58,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,620 : 107,115.60 = 42,292 : x
  2. Step 2: Convert to fraction form
    77,620/107,115.60 = 42,292/x
  3. Step 3: Cross multiply
    77,620x = 107,115.60 × 42,292
  4. Step 4: Simplify right side
    77,620x = 4,530,132,955.20
  5. Step 5: Solve for x
    x = 4,530,132,955.20/77,620
  6. Step 6: Final answer
    x = 58,362.96

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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.