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Finding the Fourth Proportional to 142,699.17, 196,922.69 and 78,167.89

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Solution

The fourth proportional to 142,699.17, 196,922.69 and 78,167.89 is: 107,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,699.17 : 196,922.69 = 78,167.89 : x
  2. Step 2: Convert to fraction form
    142,699.17/196,922.69 = 78,167.89/x
  3. Step 3: Cross multiply
    142,699.17x = 196,922.69 × 78,167.89
  4. Step 4: Simplify right side
    142,699.17x = 15,393,030,650.87
  5. Step 5: Solve for x
    x = 15,393,030,650.87/142,699.17
  6. Step 6: Final answer
    x = 107,870.50

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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.