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Finding the Fourth Proportional to 138,772.61, 191,509.68 and 85,087.22

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Solution

The fourth proportional to 138,772.61, 191,509.68 and 85,087.22 is: 117,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,772.61 : 191,509.68 = 85,087.22 : x
  2. Step 2: Convert to fraction form
    138,772.61/191,509.68 = 85,087.22/x
  3. Step 3: Cross multiply
    138,772.61x = 191,509.68 × 85,087.22
  4. Step 4: Simplify right side
    138,772.61x = 16,295,025,316.74
  5. Step 5: Solve for x
    x = 16,295,025,316.74/138,772.61
  6. Step 6: Final answer
    x = 117,422.49

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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.