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Finding the Fourth Proportional to 188,689.77, 260,393.18 and 102,649.55

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Solution

The fourth proportional to 188,689.77, 260,393.18 and 102,649.55 is: 141,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,689.77 : 260,393.18 = 102,649.55 : x
  2. Step 2: Convert to fraction form
    188,689.77/260,393.18 = 102,649.55/x
  3. Step 3: Cross multiply
    188,689.77x = 260,393.18 × 102,649.55
  4. Step 4: Simplify right side
    188,689.77x = 26,729,240,934.86
  5. Step 5: Solve for x
    x = 26,729,240,934.86/188,689.77
  6. Step 6: Final answer
    x = 141,657.08

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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.