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Finding the Fourth Proportional to 137,097.85, 189,191.47 and 75,846.30

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Solution

The fourth proportional to 137,097.85, 189,191.47 and 75,846.30 is: 104,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,097.85 : 189,191.47 = 75,846.30 : x
  2. Step 2: Convert to fraction form
    137,097.85/189,191.47 = 75,846.30/x
  3. Step 3: Cross multiply
    137,097.85x = 189,191.47 × 75,846.30
  4. Step 4: Simplify right side
    137,097.85x = 14,349,472,991.06
  5. Step 5: Solve for x
    x = 14,349,472,991.06/137,097.85
  6. Step 6: Final answer
    x = 104,665.92

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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.