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Finding the Fourth Proportional to 84,491.98, 126,740.34 and 31,889.74

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Solution

The fourth proportional to 84,491.98, 126,740.34 and 31,889.74 is: 47,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,491.98 : 126,740.34 = 31,889.74 : x
  2. Step 2: Convert to fraction form
    84,491.98/126,740.34 = 31,889.74/x
  3. Step 3: Cross multiply
    84,491.98x = 126,740.34 × 31,889.74
  4. Step 4: Simplify right side
    84,491.98x = 4,041,716,490.11
  5. Step 5: Solve for x
    x = 4,041,716,490.11/84,491.98
  6. Step 6: Final answer
    x = 47,835.50

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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.