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Finding the Fourth Proportional to 102,023.20, 153,034.80 and 90,650.80

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Solution

The fourth proportional to 102,023.20, 153,034.80 and 90,650.80 is: 135,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,023.20 : 153,034.80 = 90,650.80 : x
  2. Step 2: Convert to fraction form
    102,023.20/153,034.80 = 90,650.80/x
  3. Step 3: Cross multiply
    102,023.20x = 153,034.80 × 90,650.80
  4. Step 4: Simplify right side
    102,023.20x = 13,872,727,047.84
  5. Step 5: Solve for x
    x = 13,872,727,047.84/102,023.20
  6. Step 6: Final answer
    x = 135,976.20

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1.5x scale

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.