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Finding the Fourth Proportional to 140,615.64, 193,847.76 and 100,259.46

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Solution

The fourth proportional to 140,615.64, 193,847.76 and 100,259.46 is: 138,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,615.64 : 193,847.76 = 100,259.46 : x
  2. Step 2: Convert to fraction form
    140,615.64/193,847.76 = 100,259.46/x
  3. Step 3: Cross multiply
    140,615.64x = 193,847.76 × 100,259.46
  4. Step 4: Simplify right side
    140,615.64x = 19,435,071,739.81
  5. Step 5: Solve for x
    x = 19,435,071,739.81/140,615.64
  6. Step 6: Final answer
    x = 138,214.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.