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Finding the Fourth Proportional to 100,159.20, 149,947.20 and 97,243.20

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Solution

The fourth proportional to 100,159.20, 149,947.20 and 97,243.20 is: 145,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,159.20 : 149,947.20 = 97,243.20 : x
  2. Step 2: Convert to fraction form
    100,159.20/149,947.20 = 97,243.20/x
  3. Step 3: Cross multiply
    100,159.20x = 149,947.20 × 97,243.20
  4. Step 4: Simplify right side
    100,159.20x = 14,581,345,559.04
  5. Step 5: Solve for x
    x = 14,581,345,559.04/100,159.20
  6. Step 6: Final answer
    x = 145,581.69

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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.