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Finding the Fourth Proportional to 299,920.47, 449,881.56 and 86,705.74

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Solution

The fourth proportional to 299,920.47, 449,881.56 and 86,705.74 is: 130,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,920.47 : 449,881.56 = 86,705.74 : x
  2. Step 2: Convert to fraction form
    299,920.47/449,881.56 = 86,705.74/x
  3. Step 3: Cross multiply
    299,920.47x = 449,881.56 × 86,705.74
  4. Step 4: Simplify right side
    299,920.47x = 39,007,311,870.78
  5. Step 5: Solve for x
    x = 39,007,311,870.78/299,920.47
  6. Step 6: Final answer
    x = 130,058.85

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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.