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Finding the Fourth Proportional to 218,706.40, 301,751.89 and 142,337.85

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Solution

The fourth proportional to 218,706.40, 301,751.89 and 142,337.85 is: 196,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,706.40 : 301,751.89 = 142,337.85 : x
  2. Step 2: Convert to fraction form
    218,706.40/301,751.89 = 142,337.85/x
  3. Step 3: Cross multiply
    218,706.40x = 301,751.89 × 142,337.85
  4. Step 4: Simplify right side
    218,706.40x = 42,950,715,256.04
  5. Step 5: Solve for x
    x = 42,950,715,256.04/218,706.40
  6. Step 6: Final answer
    x = 196,385.27

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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.