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Finding the Fourth Proportional to 84,011.70, 126,013.34 and 31,417.32

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Solution

The fourth proportional to 84,011.70, 126,013.34 and 31,417.32 is: 47,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,011.70 : 126,013.34 = 31,417.32 : x
  2. Step 2: Convert to fraction form
    84,011.70/126,013.34 = 31,417.32/x
  3. Step 3: Cross multiply
    84,011.70x = 126,013.34 × 31,417.32
  4. Step 4: Simplify right side
    84,011.70x = 3,959,001,427.05
  5. Step 5: Solve for x
    x = 3,959,001,427.05/84,011.70
  6. Step 6: Final answer
    x = 47,124.41

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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.