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Finding the Fourth Proportional to 138,397.64, 191,002.86 and 84,718.13

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Solution

The fourth proportional to 138,397.64, 191,002.86 and 84,718.13 is: 116,919.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,397.64 : 191,002.86 = 84,718.13 : x
  2. Step 2: Convert to fraction form
    138,397.64/191,002.86 = 84,718.13/x
  3. Step 3: Cross multiply
    138,397.64x = 191,002.86 × 84,718.13
  4. Step 4: Simplify right side
    138,397.64x = 16,181,405,601.36
  5. Step 5: Solve for x
    x = 16,181,405,601.36/138,397.64
  6. Step 6: Final answer
    x = 116,919.66

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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.