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Finding the Fourth Proportional to 114,438.29, 171,141.76 and 87,428.85

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Solution

The fourth proportional to 114,438.29, 171,141.76 and 87,428.85 is: 130,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,438.29 : 171,141.76 = 87,428.85 : x
  2. Step 2: Convert to fraction form
    114,438.29/171,141.76 = 87,428.85/x
  3. Step 3: Cross multiply
    114,438.29x = 171,141.76 × 87,428.85
  4. Step 4: Simplify right side
    114,438.29x = 14,962,727,335.89
  5. Step 5: Solve for x
    x = 14,962,727,335.89/114,438.29
  6. Step 6: Final answer
    x = 130,749.31

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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.