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Finding the Fourth Proportional to 103,442.30, 155,017.65 and 63,881.90

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Solution

The fourth proportional to 103,442.30, 155,017.65 and 63,881.90 is: 95,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,442.30 : 155,017.65 = 63,881.90 : x
  2. Step 2: Convert to fraction form
    103,442.30/155,017.65 = 63,881.90/x
  3. Step 3: Cross multiply
    103,442.30x = 155,017.65 × 63,881.90
  4. Step 4: Simplify right side
    103,442.30x = 9,902,822,015.54
  5. Step 5: Solve for x
    x = 9,902,822,015.54/103,442.30
  6. Step 6: Final answer
    x = 95,732.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.