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Finding the Fourth Proportional to 142,794.52, 197,064.32 and 79,130.95

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Solution

The fourth proportional to 142,794.52, 197,064.32 and 79,130.95 is: 109,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,794.52 : 197,064.32 = 79,130.95 : x
  2. Step 2: Convert to fraction form
    142,794.52/197,064.32 = 79,130.95/x
  3. Step 3: Cross multiply
    142,794.52x = 197,064.32 × 79,130.95
  4. Step 4: Simplify right side
    142,794.52x = 15,593,886,852.70
  5. Step 5: Solve for x
    x = 15,593,886,852.70/142,794.52
  6. Step 6: Final answer
    x = 109,205.08

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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.