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Finding the Fourth Proportional to 100,502.40, 150,534.90 and 87,380.40

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Solution

The fourth proportional to 100,502.40, 150,534.90 and 87,380.40 is: 130,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,502.40 : 150,534.90 = 87,380.40 : x
  2. Step 2: Convert to fraction form
    100,502.40/150,534.90 = 87,380.40/x
  3. Step 3: Cross multiply
    100,502.40x = 150,534.90 × 87,380.40
  4. Step 4: Simplify right side
    100,502.40x = 13,153,799,775.96
  5. Step 5: Solve for x
    x = 13,153,799,775.96/100,502.40
  6. Step 6: Final answer
    x = 130,880.45

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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.