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Finding the Fourth Proportional to 165,781.95, 248,746.43 and 86,877.42

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Solution

The fourth proportional to 165,781.95, 248,746.43 and 86,877.42 is: 130,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,781.95 : 248,746.43 = 86,877.42 : x
  2. Step 2: Convert to fraction form
    165,781.95/248,746.43 = 86,877.42/x
  3. Step 3: Cross multiply
    165,781.95x = 248,746.43 × 86,877.42
  4. Step 4: Simplify right side
    165,781.95x = 21,610,448,072.61
  5. Step 5: Solve for x
    x = 21,610,448,072.61/165,781.95
  6. Step 6: Final answer
    x = 130,354.65

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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.