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Finding the Fourth Proportional to 142,341.80, 196,423.25 and 78,675.80

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Solution

The fourth proportional to 142,341.80, 196,423.25 and 78,675.80 is: 108,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,341.80 : 196,423.25 = 78,675.80 : x
  2. Step 2: Convert to fraction form
    142,341.80/196,423.25 = 78,675.80/x
  3. Step 3: Cross multiply
    142,341.80x = 196,423.25 × 78,675.80
  4. Step 4: Simplify right side
    142,341.80x = 15,453,754,956.85
  5. Step 5: Solve for x
    x = 15,453,754,956.85/142,341.80
  6. Step 6: Final answer
    x = 108,567.94

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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.