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Finding the Fourth Proportional to 30,151.80, 45,227.70 and 10,428.30

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Solution

The fourth proportional to 30,151.80, 45,227.70 and 10,428.30 is: 15,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,151.80 : 45,227.70 = 10,428.30 : x
  2. Step 2: Convert to fraction form
    30,151.80/45,227.70 = 10,428.30/x
  3. Step 3: Cross multiply
    30,151.80x = 45,227.70 × 10,428.30
  4. Step 4: Simplify right side
    30,151.80x = 471,648,023.91
  5. Step 5: Solve for x
    x = 471,648,023.91/30,151.80
  6. Step 6: Final answer
    x = 15,642.45

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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.