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Finding the Fourth Proportional to 142,652.37, 196,857.87 and 78,988.80

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Solution

The fourth proportional to 142,652.37, 196,857.87 and 78,988.80 is: 109,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,652.37 : 196,857.87 = 78,988.80 : x
  2. Step 2: Convert to fraction form
    142,652.37/196,857.87 = 78,988.80/x
  3. Step 3: Cross multiply
    142,652.37x = 196,857.87 × 78,988.80
  4. Step 4: Simplify right side
    142,652.37x = 15,549,566,921.86
  5. Step 5: Solve for x
    x = 15,549,566,921.86/142,652.37
  6. Step 6: Final answer
    x = 109,003.21

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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.