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Finding the Fourth Proportional to 78,261.66, 108,002.94 and 47,624.22

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Solution

The fourth proportional to 78,261.66, 108,002.94 and 47,624.22 is: 65,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,261.66 : 108,002.94 = 47,624.22 : x
  2. Step 2: Convert to fraction form
    78,261.66/108,002.94 = 47,624.22/x
  3. Step 3: Cross multiply
    78,261.66x = 108,002.94 × 47,624.22
  4. Step 4: Simplify right side
    78,261.66x = 5,143,555,775.21
  5. Step 5: Solve for x
    x = 5,143,555,775.21/78,261.66
  6. Step 6: Final answer
    x = 65,722.55

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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.