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Finding the Fourth Proportional to 102,420.76, 153,631.14 and 67,352.22

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Solution

The fourth proportional to 102,420.76, 153,631.14 and 67,352.22 is: 101,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,420.76 : 153,631.14 = 67,352.22 : x
  2. Step 2: Convert to fraction form
    102,420.76/153,631.14 = 67,352.22/x
  3. Step 3: Cross multiply
    102,420.76x = 153,631.14 × 67,352.22
  4. Step 4: Simplify right side
    102,420.76x = 10,347,398,340.13
  5. Step 5: Solve for x
    x = 10,347,398,340.13/102,420.76
  6. Step 6: Final answer
    x = 101,028.33

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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.