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Finding the Fourth Proportional to 189,673.68, 261,746.62 and 103,630.82

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Solution

The fourth proportional to 189,673.68, 261,746.62 and 103,630.82 is: 143,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,673.68 : 261,746.62 = 103,630.82 : x
  2. Step 2: Convert to fraction form
    189,673.68/261,746.62 = 103,630.82/x
  3. Step 3: Cross multiply
    189,673.68x = 261,746.62 × 103,630.82
  4. Step 4: Simplify right side
    189,673.68x = 27,125,016,862.83
  5. Step 5: Solve for x
    x = 27,125,016,862.83/189,673.68
  6. Step 6: Final answer
    x = 143,008.86

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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.