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Finding the Fourth Proportional to 84,079.52, 116,077.20 and 55,823.84

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Solution

The fourth proportional to 84,079.52, 116,077.20 and 55,823.84 is: 77,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,079.52 : 116,077.20 = 55,823.84 : x
  2. Step 2: Convert to fraction form
    84,079.52/116,077.20 = 55,823.84/x
  3. Step 3: Cross multiply
    84,079.52x = 116,077.20 × 55,823.84
  4. Step 4: Simplify right side
    84,079.52x = 6,479,875,040.45
  5. Step 5: Solve for x
    x = 6,479,875,040.45/84,079.52
  6. Step 6: Final answer
    x = 77,068.41

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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.