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Finding the Fourth Proportional to 140,565, 210,842.04 and 61,680

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Solution

The fourth proportional to 140,565, 210,842.04 and 61,680 is: 92,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,565 : 210,842.04 = 61,680 : x
  2. Step 2: Convert to fraction form
    140,565/210,842.04 = 61,680/x
  3. Step 3: Cross multiply
    140,565x = 210,842.04 × 61,680
  4. Step 4: Simplify right side
    140,565x = 13,004,737,027.20
  5. Step 5: Solve for x
    x = 13,004,737,027.20/140,565
  6. Step 6: Final answer
    x = 92,517.60

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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.