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Finding the Fourth Proportional to 205,643.10, 308,579.85 and 87,294.30

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Solution

The fourth proportional to 205,643.10, 308,579.85 and 87,294.30 is: 130,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,643.10 : 308,579.85 = 87,294.30 : x
  2. Step 2: Convert to fraction form
    205,643.10/308,579.85 = 87,294.30/x
  3. Step 3: Cross multiply
    205,643.10x = 308,579.85 × 87,294.30
  4. Step 4: Simplify right side
    205,643.10x = 26,937,261,999.86
  5. Step 5: Solve for x
    x = 26,937,261,999.86/205,643.10
  6. Step 6: Final answer
    x = 130,990.35

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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.