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Finding the Fourth Proportional to 65,481, 90,363.78 and 35,673

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Solution

The fourth proportional to 65,481, 90,363.78 and 35,673 is: 49,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,481 : 90,363.78 = 35,673 : x
  2. Step 2: Convert to fraction form
    65,481/90,363.78 = 35,673/x
  3. Step 3: Cross multiply
    65,481x = 90,363.78 × 35,673
  4. Step 4: Simplify right side
    65,481x = 3,223,547,123.94
  5. Step 5: Solve for x
    x = 3,223,547,123.94/65,481
  6. Step 6: Final answer
    x = 49,228.74

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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.