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Finding the Fourth Proportional to 137,039.55, 189,104.13 and 83,317.11

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Solution

The fourth proportional to 137,039.55, 189,104.13 and 83,317.11 is: 114,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,039.55 : 189,104.13 = 83,317.11 : x
  2. Step 2: Convert to fraction form
    137,039.55/189,104.13 = 83,317.11/x
  3. Step 3: Cross multiply
    137,039.55x = 189,104.13 × 83,317.11
  4. Step 4: Simplify right side
    137,039.55x = 15,755,609,600.66
  5. Step 5: Solve for x
    x = 15,755,609,600.66/137,039.55
  6. Step 6: Final answer
    x = 114,971.26

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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.