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Finding the Fourth Proportional to 268,020.72, 402,017.88 and 99,573.84

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Solution

The fourth proportional to 268,020.72, 402,017.88 and 99,573.84 is: 149,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,020.72 : 402,017.88 = 99,573.84 : x
  2. Step 2: Convert to fraction form
    268,020.72/402,017.88 = 99,573.84/x
  3. Step 3: Cross multiply
    268,020.72x = 402,017.88 × 99,573.84
  4. Step 4: Simplify right side
    268,020.72x = 40,030,464,060.26
  5. Step 5: Solve for x
    x = 40,030,464,060.26/268,020.72
  6. Step 6: Final answer
    x = 149,355.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.