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Finding the Fourth Proportional to 188,159.17, 259,661.60 and 102,118.90

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Solution

The fourth proportional to 188,159.17, 259,661.60 and 102,118.90 is: 140,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,159.17 : 259,661.60 = 102,118.90 : x
  2. Step 2: Convert to fraction form
    188,159.17/259,661.60 = 102,118.90/x
  3. Step 3: Cross multiply
    188,159.17x = 259,661.60 × 102,118.90
  4. Step 4: Simplify right side
    188,159.17x = 26,516,356,309.15
  5. Step 5: Solve for x
    x = 26,516,356,309.15/188,159.17
  6. Step 6: Final answer
    x = 140,925.13

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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.