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Finding the Fourth Proportional to 97,910.40, 146,865.60 and 31,352.70

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Solution

The fourth proportional to 97,910.40, 146,865.60 and 31,352.70 is: 47,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,910.40 : 146,865.60 = 31,352.70 : x
  2. Step 2: Convert to fraction form
    97,910.40/146,865.60 = 31,352.70/x
  3. Step 3: Cross multiply
    97,910.40x = 146,865.60 × 31,352.70
  4. Step 4: Simplify right side
    97,910.40x = 4,604,633,097.12
  5. Step 5: Solve for x
    x = 4,604,633,097.12/97,910.40
  6. Step 6: Final answer
    x = 47,029.05

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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.