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Finding the Fourth Proportional to 100,042.16, 138,039.08 and 57,020.83

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Solution

The fourth proportional to 100,042.16, 138,039.08 and 57,020.83 is: 78,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,042.16 : 138,039.08 = 57,020.83 : x
  2. Step 2: Convert to fraction form
    100,042.16/138,039.08 = 57,020.83/x
  3. Step 3: Cross multiply
    100,042.16x = 138,039.08 × 57,020.83
  4. Step 4: Simplify right side
    100,042.16x = 7,871,102,283.83
  5. Step 5: Solve for x
    x = 7,871,102,283.83/100,042.16
  6. Step 6: Final answer
    x = 78,677.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.