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Finding the Fourth Proportional to 187,411.76, 258,712.68 and 119,519.84

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Solution

The fourth proportional to 187,411.76, 258,712.68 and 119,519.84 is: 164,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,411.76 : 258,712.68 = 119,519.84 : x
  2. Step 2: Convert to fraction form
    187,411.76/258,712.68 = 119,519.84/x
  3. Step 3: Cross multiply
    187,411.76x = 258,712.68 × 119,519.84
  4. Step 4: Simplify right side
    187,411.76x = 30,921,298,119.57
  5. Step 5: Solve for x
    x = 30,921,298,119.57/187,411.76
  6. Step 6: Final answer
    x = 164,991.24

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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.