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Finding the Fourth Proportional to 100,659.16, 151,010.52 and 30,543.76

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Solution

The fourth proportional to 100,659.16, 151,010.52 and 30,543.76 is: 45,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,659.16 : 151,010.52 = 30,543.76 : x
  2. Step 2: Convert to fraction form
    100,659.16/151,010.52 = 30,543.76/x
  3. Step 3: Cross multiply
    100,659.16x = 151,010.52 × 30,543.76
  4. Step 4: Simplify right side
    100,659.16x = 4,612,429,080.36
  5. Step 5: Solve for x
    x = 4,612,429,080.36/100,659.16
  6. Step 6: Final answer
    x = 45,822.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.