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Finding the Fourth Proportional to 137,572.60, 189,858.06 and 77,162.80

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Solution

The fourth proportional to 137,572.60, 189,858.06 and 77,162.80 is: 106,489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,572.60 : 189,858.06 = 77,162.80 : x
  2. Step 2: Convert to fraction form
    137,572.60/189,858.06 = 77,162.80/x
  3. Step 3: Cross multiply
    137,572.60x = 189,858.06 × 77,162.80
  4. Step 4: Simplify right side
    137,572.60x = 14,649,979,512.17
  5. Step 5: Solve for x
    x = 14,649,979,512.17/137,572.60
  6. Step 6: Final answer
    x = 106,489.08

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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.