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Finding the Fourth Proportional to 119,159.70, 164,443.26 and 65,445.90

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Solution

The fourth proportional to 119,159.70, 164,443.26 and 65,445.90 is: 90,316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,159.70 : 164,443.26 = 65,445.90 : x
  2. Step 2: Convert to fraction form
    119,159.70/164,443.26 = 65,445.90/x
  3. Step 3: Cross multiply
    119,159.70x = 164,443.26 × 65,445.90
  4. Step 4: Simplify right side
    119,159.70x = 10,762,137,149.63
  5. Step 5: Solve for x
    x = 10,762,137,149.63/119,159.70
  6. Step 6: Final answer
    x = 90,316.92

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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.