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Finding the Fourth Proportional to 137,063.50, 189,147.63 and 77,447.50

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Solution

The fourth proportional to 137,063.50, 189,147.63 and 77,447.50 is: 106,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,063.50 : 189,147.63 = 77,447.50 : x
  2. Step 2: Convert to fraction form
    137,063.50/189,147.63 = 77,447.50/x
  3. Step 3: Cross multiply
    137,063.50x = 189,147.63 × 77,447.50
  4. Step 4: Simplify right side
    137,063.50x = 14,649,011,074.43
  5. Step 5: Solve for x
    x = 14,649,011,074.43/137,063.50
  6. Step 6: Final answer
    x = 106,877.55

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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.