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Finding the Fourth Proportional to 153,788.24, 212,227.80 and 86,720.24

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Solution

The fourth proportional to 153,788.24, 212,227.80 and 86,720.24 is: 119,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,788.24 : 212,227.80 = 86,720.24 : x
  2. Step 2: Convert to fraction form
    153,788.24/212,227.80 = 86,720.24/x
  3. Step 3: Cross multiply
    153,788.24x = 212,227.80 × 86,720.24
  4. Step 4: Simplify right side
    153,788.24x = 18,404,445,750.67
  5. Step 5: Solve for x
    x = 18,404,445,750.67/153,788.24
  6. Step 6: Final answer
    x = 119,673.95

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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.