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Finding the Fourth Proportional to 84,551.70, 116,415.78 and 71,778.40

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Solution

The fourth proportional to 84,551.70, 116,415.78 and 71,778.40 is: 98,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,551.70 : 116,415.78 = 71,778.40 : x
  2. Step 2: Convert to fraction form
    84,551.70/116,415.78 = 71,778.40/x
  3. Step 3: Cross multiply
    84,551.70x = 116,415.78 × 71,778.40
  4. Step 4: Simplify right side
    84,551.70x = 8,356,138,423.15
  5. Step 5: Solve for x
    x = 8,356,138,423.15/84,551.70
  6. Step 6: Final answer
    x = 98,828.75

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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.