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Finding the Fourth Proportional to 75,294, 112,943.16 and 19,890

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Solution

The fourth proportional to 75,294, 112,943.16 and 19,890 is: 29,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,294 : 112,943.16 = 19,890 : x
  2. Step 2: Convert to fraction form
    75,294/112,943.16 = 19,890/x
  3. Step 3: Cross multiply
    75,294x = 112,943.16 × 19,890
  4. Step 4: Simplify right side
    75,294x = 2,246,439,452.40
  5. Step 5: Solve for x
    x = 2,246,439,452.40/75,294
  6. Step 6: Final answer
    x = 29,835.57

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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.