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Finding the Fourth Proportional to 140,709.86, 210,729.75 and 81,420.58

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Solution

The fourth proportional to 140,709.86, 210,729.75 and 81,420.58 is: 121,937.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,709.86 : 210,729.75 = 81,420.58 : x
  2. Step 2: Convert to fraction form
    140,709.86/210,729.75 = 81,420.58/x
  3. Step 3: Cross multiply
    140,709.86x = 210,729.75 × 81,420.58
  4. Step 4: Simplify right side
    140,709.86x = 17,157,738,468.26
  5. Step 5: Solve for x
    x = 17,157,738,468.26/140,709.86
  6. Step 6: Final answer
    x = 121,937.00

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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.