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Finding the Fourth Proportional to 188,565.68, 260,227.32 and 103,689.20

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Solution

The fourth proportional to 188,565.68, 260,227.32 and 103,689.20 is: 143,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,565.68 : 260,227.32 = 103,689.20 : x
  2. Step 2: Convert to fraction form
    188,565.68/260,227.32 = 103,689.20/x
  3. Step 3: Cross multiply
    188,565.68x = 260,227.32 × 103,689.20
  4. Step 4: Simplify right side
    188,565.68x = 26,982,762,628.94
  5. Step 5: Solve for x
    x = 26,982,762,628.94/188,565.68
  6. Step 6: Final answer
    x = 143,094.77

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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.