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Finding the Fourth Proportional to 138,457.95, 207,683.88 and 38,615.46

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Solution

The fourth proportional to 138,457.95, 207,683.88 and 38,615.46 is: 57,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,457.95 : 207,683.88 = 38,615.46 : x
  2. Step 2: Convert to fraction form
    138,457.95/207,683.88 = 38,615.46/x
  3. Step 3: Cross multiply
    138,457.95x = 207,683.88 × 38,615.46
  4. Step 4: Simplify right side
    138,457.95x = 8,019,808,560.78
  5. Step 5: Solve for x
    x = 8,019,808,560.78/138,457.95
  6. Step 6: Final answer
    x = 57,922.34

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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.