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Finding the Fourth Proportional to 137,161.73, 189,275.56 and 76,720.70

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Solution

The fourth proportional to 137,161.73, 189,275.56 and 76,720.70 is: 105,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,161.73 : 189,275.56 = 76,720.70 : x
  2. Step 2: Convert to fraction form
    137,161.73/189,275.56 = 76,720.70/x
  3. Step 3: Cross multiply
    137,161.73x = 189,275.56 × 76,720.70
  4. Step 4: Simplify right side
    137,161.73x = 14,521,352,317.91
  5. Step 5: Solve for x
    x = 14,521,352,317.91/137,161.73
  6. Step 6: Final answer
    x = 105,870.29

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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.