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Finding the Fourth Proportional to 102,799.80, 153,969.30 and 61,327.80

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Solution

The fourth proportional to 102,799.80, 153,969.30 and 61,327.80 is: 91,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,799.80 : 153,969.30 = 61,327.80 : x
  2. Step 2: Convert to fraction form
    102,799.80/153,969.30 = 61,327.80/x
  3. Step 3: Cross multiply
    102,799.80x = 153,969.30 × 61,327.80
  4. Step 4: Simplify right side
    102,799.80x = 9,442,598,436.54
  5. Step 5: Solve for x
    x = 9,442,598,436.54/102,799.80
  6. Step 6: Final answer
    x = 91,854.25

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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.