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Finding the Fourth Proportional to 142,178.74, 196,206.74 and 77,648.88

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Solution

The fourth proportional to 142,178.74, 196,206.74 and 77,648.88 is: 107,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,178.74 : 196,206.74 = 77,648.88 : x
  2. Step 2: Convert to fraction form
    142,178.74/196,206.74 = 77,648.88/x
  3. Step 3: Cross multiply
    142,178.74x = 196,206.74 × 77,648.88
  4. Step 4: Simplify right side
    142,178.74x = 15,235,233,609.45
  5. Step 5: Solve for x
    x = 15,235,233,609.45/142,178.74
  6. Step 6: Final answer
    x = 107,155.50

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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.