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Finding the Fourth Proportional to 102,502.20, 153,753.30 and 55,846.20

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Solution

The fourth proportional to 102,502.20, 153,753.30 and 55,846.20 is: 83,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,502.20 : 153,753.30 = 55,846.20 : x
  2. Step 2: Convert to fraction form
    102,502.20/153,753.30 = 55,846.20/x
  3. Step 3: Cross multiply
    102,502.20x = 153,753.30 × 55,846.20
  4. Step 4: Simplify right side
    102,502.20x = 8,586,537,542.46
  5. Step 5: Solve for x
    x = 8,586,537,542.46/102,502.20
  6. Step 6: Final answer
    x = 83,769.30

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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.