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Finding the Fourth Proportional to 140,570.86, 210,832.80 and 61,663.90

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Solution

The fourth proportional to 140,570.86, 210,832.80 and 61,663.90 is: 92,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,570.86 : 210,832.80 = 61,663.90 : x
  2. Step 2: Convert to fraction form
    140,570.86/210,832.80 = 61,663.90/x
  3. Step 3: Cross multiply
    140,570.86x = 210,832.80 × 61,663.90
  4. Step 4: Simplify right side
    140,570.86x = 13,000,772,695.92
  5. Step 5: Solve for x
    x = 13,000,772,695.92/140,570.86
  6. Step 6: Final answer
    x = 92,485.55

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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.