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Finding the Fourth Proportional to 119,389.50, 164,702.34 and 71,559.78

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Solution

The fourth proportional to 119,389.50, 164,702.34 and 71,559.78 is: 98,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,389.50 : 164,702.34 = 71,559.78 : x
  2. Step 2: Convert to fraction form
    119,389.50/164,702.34 = 71,559.78/x
  3. Step 3: Cross multiply
    119,389.50x = 164,702.34 × 71,559.78
  4. Step 4: Simplify right side
    119,389.50x = 11,786,063,215.89
  5. Step 5: Solve for x
    x = 11,786,063,215.89/119,389.50
  6. Step 6: Final answer
    x = 98,719.43

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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.