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Finding the Fourth Proportional to 189,407.40, 261,387.72 and 103,371.91

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Solution

The fourth proportional to 189,407.40, 261,387.72 and 103,371.91 is: 142,656.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,407.40 : 261,387.72 = 103,371.91 : x
  2. Step 2: Convert to fraction form
    189,407.40/261,387.72 = 103,371.91/x
  3. Step 3: Cross multiply
    189,407.40x = 261,387.72 × 103,371.91
  4. Step 4: Simplify right side
    189,407.40x = 27,020,147,866.95
  5. Step 5: Solve for x
    x = 27,020,147,866.95/189,407.40
  6. Step 6: Final answer
    x = 142,656.24

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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.