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Finding the Fourth Proportional to 137,478.94, 189,723.18 and 77,063.02

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Solution

The fourth proportional to 137,478.94, 189,723.18 and 77,063.02 is: 106,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,478.94 : 189,723.18 = 77,063.02 : x
  2. Step 2: Convert to fraction form
    137,478.94/189,723.18 = 77,063.02/x
  3. Step 3: Cross multiply
    137,478.94x = 189,723.18 × 77,063.02
  4. Step 4: Simplify right side
    137,478.94x = 14,620,641,214.80
  5. Step 5: Solve for x
    x = 14,620,641,214.80/137,478.94
  6. Step 6: Final answer
    x = 106,348.22

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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.