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Finding the Fourth Proportional to 84,283.78, 116,315 and 48,473.78

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Solution

The fourth proportional to 84,283.78, 116,315 and 48,473.78 is: 66,895.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,283.78 : 116,315 = 48,473.78 : x
  2. Step 2: Convert to fraction form
    84,283.78/116,315 = 48,473.78/x
  3. Step 3: Cross multiply
    84,283.78x = 116,315 × 48,473.78
  4. Step 4: Simplify right side
    84,283.78x = 5,638,227,720.70
  5. Step 5: Solve for x
    x = 5,638,227,720.70/84,283.78
  6. Step 6: Final answer
    x = 66,895.76

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1.5x scale

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.