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Finding the Fourth Proportional to 52,648.70, 72,631.88 and 31,415.70

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Solution

The fourth proportional to 52,648.70, 72,631.88 and 31,415.70 is: 43,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,648.70 : 72,631.88 = 31,415.70 : x
  2. Step 2: Convert to fraction form
    52,648.70/72,631.88 = 31,415.70/x
  3. Step 3: Cross multiply
    52,648.70x = 72,631.88 × 31,415.70
  4. Step 4: Simplify right side
    52,648.70x = 2,281,781,352.52
  5. Step 5: Solve for x
    x = 2,281,781,352.52/52,648.70
  6. Step 6: Final answer
    x = 43,339.75

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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.