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Finding the Fourth Proportional to 72,947.70, 109,421.55 and 56,331.96

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Solution

The fourth proportional to 72,947.70, 109,421.55 and 56,331.96 is: 84,497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,947.70 : 109,421.55 = 56,331.96 : x
  2. Step 2: Convert to fraction form
    72,947.70/109,421.55 = 56,331.96/x
  3. Step 3: Cross multiply
    72,947.70x = 109,421.55 × 56,331.96
  4. Step 4: Simplify right side
    72,947.70x = 6,163,930,377.74
  5. Step 5: Solve for x
    x = 6,163,930,377.74/72,947.70
  6. Step 6: Final answer
    x = 84,497.94

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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.