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Finding the Fourth Proportional to 106,419.48, 159,733.10 and 87,888.30

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Solution

The fourth proportional to 106,419.48, 159,733.10 and 87,888.30 is: 131,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,419.48 : 159,733.10 = 87,888.30 : x
  2. Step 2: Convert to fraction form
    106,419.48/159,733.10 = 87,888.30/x
  3. Step 3: Cross multiply
    106,419.48x = 159,733.10 × 87,888.30
  4. Step 4: Simplify right side
    106,419.48x = 14,038,670,612.73
  5. Step 5: Solve for x
    x = 14,038,670,612.73/106,419.48
  6. Step 6: Final answer
    x = 131,918.24

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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.