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Finding the Fourth Proportional to 84,551.42, 116,415.41 and 71,778.13

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Solution

The fourth proportional to 84,551.42, 116,415.41 and 71,778.13 is: 98,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,551.42 : 116,415.41 = 71,778.13 : x
  2. Step 2: Convert to fraction form
    84,551.42/116,415.41 = 71,778.13/x
  3. Step 3: Cross multiply
    84,551.42x = 116,415.41 × 71,778.13
  4. Step 4: Simplify right side
    84,551.42x = 8,356,079,492.02
  5. Step 5: Solve for x
    x = 8,356,079,492.02/84,551.42
  6. Step 6: Final answer
    x = 98,828.38

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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.