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Finding the Fourth Proportional to 137,584.57, 189,870.86 and 77,160.80

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Solution

The fourth proportional to 137,584.57, 189,870.86 and 77,160.80 is: 106,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,584.57 : 189,870.86 = 77,160.80 : x
  2. Step 2: Convert to fraction form
    137,584.57/189,870.86 = 77,160.80/x
  3. Step 3: Cross multiply
    137,584.57x = 189,870.86 × 77,160.80
  4. Step 4: Simplify right side
    137,584.57x = 14,650,587,454.29
  5. Step 5: Solve for x
    x = 14,650,587,454.29/137,584.57
  6. Step 6: Final answer
    x = 106,484.23

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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.