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Finding the Fourth Proportional to 137,417.66, 189,648.60 and 76,987.92

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Solution

The fourth proportional to 137,417.66, 189,648.60 and 76,987.92 is: 106,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,417.66 : 189,648.60 = 76,987.92 : x
  2. Step 2: Convert to fraction form
    137,417.66/189,648.60 = 76,987.92/x
  3. Step 3: Cross multiply
    137,417.66x = 189,648.60 × 76,987.92
  4. Step 4: Simplify right side
    137,417.66x = 14,600,651,244.91
  5. Step 5: Solve for x
    x = 14,600,651,244.91/137,417.66
  6. Step 6: Final answer
    x = 106,250.18

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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.