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Finding the Fourth Proportional to 205,720.90, 308,581.35 and 72,600.10

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Solution

The fourth proportional to 205,720.90, 308,581.35 and 72,600.10 is: 108,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,720.90 : 308,581.35 = 72,600.10 : x
  2. Step 2: Convert to fraction form
    205,720.90/308,581.35 = 72,600.10/x
  3. Step 3: Cross multiply
    205,720.90x = 308,581.35 × 72,600.10
  4. Step 4: Simplify right side
    205,720.90x = 22,403,036,868.14
  5. Step 5: Solve for x
    x = 22,403,036,868.14/205,720.90
  6. Step 6: Final answer
    x = 108,900.15

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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.