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Finding the Fourth Proportional to 205,060.40, 307,331.40 and 99,652.40

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Solution

The fourth proportional to 205,060.40, 307,331.40 and 99,652.40 is: 149,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,060.40 : 307,331.40 = 99,652.40 : x
  2. Step 2: Convert to fraction form
    205,060.40/307,331.40 = 99,652.40/x
  3. Step 3: Cross multiply
    205,060.40x = 307,331.40 × 99,652.40
  4. Step 4: Simplify right side
    205,060.40x = 30,626,311,605.36
  5. Step 5: Solve for x
    x = 30,626,311,605.36/205,060.40
  6. Step 6: Final answer
    x = 149,352.64

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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.