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Finding the Fourth Proportional to 137,049.60, 189,124.80 and 77,433.60

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Solution

The fourth proportional to 137,049.60, 189,124.80 and 77,433.60 is: 106,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,049.60 : 189,124.80 = 77,433.60 : x
  2. Step 2: Convert to fraction form
    137,049.60/189,124.80 = 77,433.60/x
  3. Step 3: Cross multiply
    137,049.60x = 189,124.80 × 77,433.60
  4. Step 4: Simplify right side
    137,049.60x = 14,644,614,113.28
  5. Step 5: Solve for x
    x = 14,644,614,113.28/137,049.60
  6. Step 6: Final answer
    x = 106,856.31

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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.