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Finding the Fourth Proportional to 113,419.80, 170,129.70 and 102,144.60

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Solution

The fourth proportional to 113,419.80, 170,129.70 and 102,144.60 is: 153,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,419.80 : 170,129.70 = 102,144.60 : x
  2. Step 2: Convert to fraction form
    113,419.80/170,129.70 = 102,144.60/x
  3. Step 3: Cross multiply
    113,419.80x = 170,129.70 × 102,144.60
  4. Step 4: Simplify right side
    113,419.80x = 17,377,830,154.62
  5. Step 5: Solve for x
    x = 17,377,830,154.62/113,419.80
  6. Step 6: Final answer
    x = 153,216.90

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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.