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Finding the Fourth Proportional to 109,318.86, 163,978.32 and 84,395.29

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Solution

The fourth proportional to 109,318.86, 163,978.32 and 84,395.29 is: 126,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,318.86 : 163,978.32 = 84,395.29 : x
  2. Step 2: Convert to fraction form
    109,318.86/163,978.32 = 84,395.29/x
  3. Step 3: Cross multiply
    109,318.86x = 163,978.32 × 84,395.29
  4. Step 4: Simplify right side
    109,318.86x = 13,838,997,870.11
  5. Step 5: Solve for x
    x = 13,838,997,870.11/109,318.86
  6. Step 6: Final answer
    x = 126,592.96

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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.