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Finding the Fourth Proportional to 218,123.80, 301,005.66 and 142,670.68

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Solution

The fourth proportional to 218,123.80, 301,005.66 and 142,670.68 is: 196,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,123.80 : 301,005.66 = 142,670.68 : x
  2. Step 2: Convert to fraction form
    218,123.80/301,005.66 = 142,670.68/x
  3. Step 3: Cross multiply
    218,123.80x = 301,005.66 × 142,670.68
  4. Step 4: Simplify right side
    218,123.80x = 42,944,682,196.05
  5. Step 5: Solve for x
    x = 42,944,682,196.05/218,123.80
  6. Step 6: Final answer
    x = 196,882.15

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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.