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Finding the Fourth Proportional to 142,924.70, 197,248.21 and 79,283

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Solution

The fourth proportional to 142,924.70, 197,248.21 and 79,283 is: 109,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,924.70 : 197,248.21 = 79,283 : x
  2. Step 2: Convert to fraction form
    142,924.70/197,248.21 = 79,283/x
  3. Step 3: Cross multiply
    142,924.70x = 197,248.21 × 79,283
  4. Step 4: Simplify right side
    142,924.70x = 15,638,429,833.43
  5. Step 5: Solve for x
    x = 15,638,429,833.43/142,924.70
  6. Step 6: Final answer
    x = 109,417.27

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1.5x scale

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.