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Finding the Fourth Proportional to 145,959, 201,423.44 and 78,891

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Solution

The fourth proportional to 145,959, 201,423.44 and 78,891 is: 108,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,959 : 201,423.44 = 78,891 : x
  2. Step 2: Convert to fraction form
    145,959/201,423.44 = 78,891/x
  3. Step 3: Cross multiply
    145,959x = 201,423.44 × 78,891
  4. Step 4: Simplify right side
    145,959x = 15,890,496,605.04
  5. Step 5: Solve for x
    x = 15,890,496,605.04/145,959
  6. Step 6: Final answer
    x = 108,869.59

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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.