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Finding the Fourth Proportional to 176,138.75, 243,071.49 and 100,688.87

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Solution

The fourth proportional to 176,138.75, 243,071.49 and 100,688.87 is: 138,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,138.75 : 243,071.49 = 100,688.87 : x
  2. Step 2: Convert to fraction form
    176,138.75/243,071.49 = 100,688.87/x
  3. Step 3: Cross multiply
    176,138.75x = 243,071.49 × 100,688.87
  4. Step 4: Simplify right side
    176,138.75x = 24,474,593,657.32
  5. Step 5: Solve for x
    x = 24,474,593,657.32/176,138.75
  6. Step 6: Final answer
    x = 138,950.65

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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.