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Finding the Fourth Proportional to 153,697.75, 212,104.52 and 86,629.75

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Solution

The fourth proportional to 153,697.75, 212,104.52 and 86,629.75 is: 119,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,697.75 : 212,104.52 = 86,629.75 : x
  2. Step 2: Convert to fraction form
    153,697.75/212,104.52 = 86,629.75/x
  3. Step 3: Cross multiply
    153,697.75x = 212,104.52 × 86,629.75
  4. Step 4: Simplify right side
    153,697.75x = 18,374,561,541.47
  5. Step 5: Solve for x
    x = 18,374,561,541.47/153,697.75
  6. Step 6: Final answer
    x = 119,549.97

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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.