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Finding the Fourth Proportional to 142,782, 197,043.48 and 79,113.84

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Solution

The fourth proportional to 142,782, 197,043.48 and 79,113.84 is: 109,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,782 : 197,043.48 = 79,113.84 : x
  2. Step 2: Convert to fraction form
    142,782/197,043.48 = 79,113.84/x
  3. Step 3: Cross multiply
    142,782x = 197,043.48 × 79,113.84
  4. Step 4: Simplify right side
    142,782x = 15,588,866,349.76
  5. Step 5: Solve for x
    x = 15,588,866,349.76/142,782
  6. Step 6: Final answer
    x = 109,179.49

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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.