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Finding the Fourth Proportional to 119,530.92, 164,946.66 and 65,820.60

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Solution

The fourth proportional to 119,530.92, 164,946.66 and 65,820.60 is: 90,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,530.92 : 164,946.66 = 65,820.60 : x
  2. Step 2: Convert to fraction form
    119,530.92/164,946.66 = 65,820.60/x
  3. Step 3: Cross multiply
    119,530.92x = 164,946.66 × 65,820.60
  4. Step 4: Simplify right side
    119,530.92x = 10,856,888,129.20
  5. Step 5: Solve for x
    x = 10,856,888,129.20/119,530.92
  6. Step 6: Final answer
    x = 90,829.12

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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.