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Finding the Fourth Proportional to 138,885.62, 191,661.57 and 77,631.74

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Solution

The fourth proportional to 138,885.62, 191,661.57 and 77,631.74 is: 107,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,885.62 : 191,661.57 = 77,631.74 : x
  2. Step 2: Convert to fraction form
    138,885.62/191,661.57 = 77,631.74/x
  3. Step 3: Cross multiply
    138,885.62x = 191,661.57 × 77,631.74
  4. Step 4: Simplify right side
    138,885.62x = 14,879,021,170.23
  5. Step 5: Solve for x
    x = 14,879,021,170.23/138,885.62
  6. Step 6: Final answer
    x = 107,131.47

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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.