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Finding the Fourth Proportional to 137,192.40, 189,347.40 and 80,617.68

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Solution

The fourth proportional to 137,192.40, 189,347.40 and 80,617.68 is: 111,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,192.40 : 189,347.40 = 80,617.68 : x
  2. Step 2: Convert to fraction form
    137,192.40/189,347.40 = 80,617.68/x
  3. Step 3: Cross multiply
    137,192.40x = 189,347.40 × 80,617.68
  4. Step 4: Simplify right side
    137,192.40x = 15,264,748,102.03
  5. Step 5: Solve for x
    x = 15,264,748,102.03/137,192.40
  6. Step 6: Final answer
    x = 111,265.26

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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.