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Finding the Fourth Proportional to 42,502.34, 63,760.80 and 12,923.16

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Solution

The fourth proportional to 42,502.34, 63,760.80 and 12,923.16 is: 19,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,502.34 : 63,760.80 = 12,923.16 : x
  2. Step 2: Convert to fraction form
    42,502.34/63,760.80 = 12,923.16/x
  3. Step 3: Cross multiply
    42,502.34x = 63,760.80 × 12,923.16
  4. Step 4: Simplify right side
    42,502.34x = 823,991,020.13
  5. Step 5: Solve for x
    x = 823,991,020.13/42,502.34
  6. Step 6: Final answer
    x = 19,386.96

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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.