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Finding the Fourth Proportional to 189,171.59, 261,048.67 and 103,128.47

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Solution

The fourth proportional to 189,171.59, 261,048.67 and 103,128.47 is: 142,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,171.59 : 261,048.67 = 103,128.47 : x
  2. Step 2: Convert to fraction form
    189,171.59/261,048.67 = 103,128.47/x
  3. Step 3: Cross multiply
    189,171.59x = 261,048.67 × 103,128.47
  4. Step 4: Simplify right side
    189,171.59x = 26,921,551,397.00
  5. Step 5: Solve for x
    x = 26,921,551,397.00/189,171.59
  6. Step 6: Final answer
    x = 142,312.87

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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.