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Finding the Fourth Proportional to 78,098, 107,775.08 and 42,288

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Solution

The fourth proportional to 78,098, 107,775.08 and 42,288 is: 58,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,098 : 107,775.08 = 42,288 : x
  2. Step 2: Convert to fraction form
    78,098/107,775.08 = 42,288/x
  3. Step 3: Cross multiply
    78,098x = 107,775.08 × 42,288
  4. Step 4: Simplify right side
    78,098x = 4,557,592,583.04
  5. Step 5: Solve for x
    x = 4,557,592,583.04/78,098
  6. Step 6: Final answer
    x = 58,357.35

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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.