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Finding the Fourth Proportional to 218,805.71, 301,888.89 and 142,437.20

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Solution

The fourth proportional to 218,805.71, 301,888.89 and 142,437.20 is: 196,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,805.71 : 301,888.89 = 142,437.20 : x
  2. Step 2: Convert to fraction form
    218,805.71/301,888.89 = 142,437.20/x
  3. Step 3: Cross multiply
    218,805.71x = 301,888.89 × 142,437.20
  4. Step 4: Simplify right side
    218,805.71x = 43,000,206,693.26
  5. Step 5: Solve for x
    x = 43,000,206,693.26/218,805.71
  6. Step 6: Final answer
    x = 196,522.33

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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.