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Finding the Fourth Proportional to 100,100.64, 137,980.08 and 78,846.24

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Solution

The fourth proportional to 100,100.64, 137,980.08 and 78,846.24 is: 108,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,100.64 : 137,980.08 = 78,846.24 : x
  2. Step 2: Convert to fraction form
    100,100.64/137,980.08 = 78,846.24/x
  3. Step 3: Cross multiply
    100,100.64x = 137,980.08 × 78,846.24
  4. Step 4: Simplify right side
    100,100.64x = 10,879,210,502.90
  5. Step 5: Solve for x
    x = 10,879,210,502.90/100,100.64
  6. Step 6: Final answer
    x = 108,682.73

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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.