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Finding the Fourth Proportional to 283,123.68, 424,617.48 and 83,390.10

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Solution

The fourth proportional to 283,123.68, 424,617.48 and 83,390.10 is: 125,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,123.68 : 424,617.48 = 83,390.10 : x
  2. Step 2: Convert to fraction form
    283,123.68/424,617.48 = 83,390.10/x
  3. Step 3: Cross multiply
    283,123.68x = 424,617.48 × 83,390.10
  4. Step 4: Simplify right side
    283,123.68x = 35,408,894,118.95
  5. Step 5: Solve for x
    x = 35,408,894,118.95/283,123.68
  6. Step 6: Final answer
    x = 125,065.11

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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.