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Finding the Fourth Proportional to 106,419.79, 159,733.57 and 87,888.61

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Solution

The fourth proportional to 106,419.79, 159,733.57 and 87,888.61 is: 131,918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,419.79 : 159,733.57 = 87,888.61 : x
  2. Step 2: Convert to fraction form
    106,419.79/159,733.57 = 87,888.61/x
  3. Step 3: Cross multiply
    106,419.79x = 159,733.57 × 87,888.61
  4. Step 4: Simplify right side
    106,419.79x = 14,038,761,437.64
  5. Step 5: Solve for x
    x = 14,038,761,437.64/106,419.79
  6. Step 6: Final answer
    x = 131,918.71

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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.