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Finding the Fourth Proportional to 142,580, 196,753.68 and 78,047.96

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Solution

The fourth proportional to 142,580, 196,753.68 and 78,047.96 is: 107,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,580 : 196,753.68 = 78,047.96 : x
  2. Step 2: Convert to fraction form
    142,580/196,753.68 = 78,047.96/x
  3. Step 3: Cross multiply
    142,580x = 196,753.68 × 78,047.96
  4. Step 4: Simplify right side
    142,580x = 15,356,223,346.49
  5. Step 5: Solve for x
    x = 15,356,223,346.49/142,580
  6. Step 6: Final answer
    x = 107,702.51

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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.