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Finding the Fourth Proportional to 137,147.70, 189,279.52 and 76,733.64

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Solution

The fourth proportional to 137,147.70, 189,279.52 and 76,733.64 is: 105,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,147.70 : 189,279.52 = 76,733.64 : x
  2. Step 2: Convert to fraction form
    137,147.70/189,279.52 = 76,733.64/x
  3. Step 3: Cross multiply
    137,147.70x = 189,279.52 × 76,733.64
  4. Step 4: Simplify right side
    137,147.70x = 14,524,106,547.05
  5. Step 5: Solve for x
    x = 14,524,106,547.05/137,147.70
  6. Step 6: Final answer
    x = 105,901.20

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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.