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Finding the Fourth Proportional to 85,013.94, 127,521.01 and 31,705.11

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Solution

The fourth proportional to 85,013.94, 127,521.01 and 31,705.11 is: 47,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,013.94 : 127,521.01 = 31,705.11 : x
  2. Step 2: Convert to fraction form
    85,013.94/127,521.01 = 31,705.11/x
  3. Step 3: Cross multiply
    85,013.94x = 127,521.01 × 31,705.11
  4. Step 4: Simplify right side
    85,013.94x = 4,043,067,649.36
  5. Step 5: Solve for x
    x = 4,043,067,649.36/85,013.94
  6. Step 6: Final answer
    x = 47,557.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.