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Finding the Fourth Proportional to 119,697.76, 165,194.54 and 89,430.54

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Solution

The fourth proportional to 119,697.76, 165,194.54 and 89,430.54 is: 123,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,697.76 : 165,194.54 = 89,430.54 : x
  2. Step 2: Convert to fraction form
    119,697.76/165,194.54 = 89,430.54/x
  3. Step 3: Cross multiply
    119,697.76x = 165,194.54 × 89,430.54
  4. Step 4: Simplify right side
    119,697.76x = 14,773,437,140.83
  5. Step 5: Solve for x
    x = 14,773,437,140.83/119,697.76
  6. Step 6: Final answer
    x = 123,422.84

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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.