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Finding the Fourth Proportional to 102,420.72, 153,631.10 and 67,352.18

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Solution

The fourth proportional to 102,420.72, 153,631.10 and 67,352.18 is: 101,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,420.72 : 153,631.10 = 67,352.18 : x
  2. Step 2: Convert to fraction form
    102,420.72/153,631.10 = 67,352.18/x
  3. Step 3: Cross multiply
    102,420.72x = 153,631.10 × 67,352.18
  4. Step 4: Simplify right side
    102,420.72x = 10,347,389,500.80
  5. Step 5: Solve for x
    x = 10,347,389,500.80/102,420.72
  6. Step 6: Final answer
    x = 101,028.28

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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.