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Finding the Fourth Proportional to 187,989.84, 282,036.78 and 86,818.86

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Solution

The fourth proportional to 187,989.84, 282,036.78 and 86,818.86 is: 130,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,989.84 : 282,036.78 = 86,818.86 : x
  2. Step 2: Convert to fraction form
    187,989.84/282,036.78 = 86,818.86/x
  3. Step 3: Cross multiply
    187,989.84x = 282,036.78 × 86,818.86
  4. Step 4: Simplify right side
    187,989.84x = 24,486,111,717.67
  5. Step 5: Solve for x
    x = 24,486,111,717.67/187,989.84
  6. Step 6: Final answer
    x = 130,252.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.