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Finding the Fourth Proportional to 151,494.68, 209,062.58 and 83,512.76

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Solution

The fourth proportional to 151,494.68, 209,062.58 and 83,512.76 is: 115,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,494.68 : 209,062.58 = 83,512.76 : x
  2. Step 2: Convert to fraction form
    151,494.68/209,062.58 = 83,512.76/x
  3. Step 3: Cross multiply
    151,494.68x = 209,062.58 × 83,512.76
  4. Step 4: Simplify right side
    151,494.68x = 17,459,393,068.52
  5. Step 5: Solve for x
    x = 17,459,393,068.52/151,494.68
  6. Step 6: Final answer
    x = 115,247.57

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1.5x scale

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.