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Finding the Fourth Proportional to 78,284.66, 107,368.59 and 75,069.74

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Solution

The fourth proportional to 78,284.66, 107,368.59 and 75,069.74 is: 102,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,284.66 : 107,368.59 = 75,069.74 : x
  2. Step 2: Convert to fraction form
    78,284.66/107,368.59 = 75,069.74/x
  3. Step 3: Cross multiply
    78,284.66x = 107,368.59 × 75,069.74
  4. Step 4: Simplify right side
    78,284.66x = 8,060,131,760.12
  5. Step 5: Solve for x
    x = 8,060,131,760.12/78,284.66
  6. Step 6: Final answer
    x = 102,959.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.