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Finding the Fourth Proportional to 97,702.70, 146,602.65 and 38,540.30

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Solution

The fourth proportional to 97,702.70, 146,602.65 and 38,540.30 is: 57,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,702.70 : 146,602.65 = 38,540.30 : x
  2. Step 2: Convert to fraction form
    97,702.70/146,602.65 = 38,540.30/x
  3. Step 3: Cross multiply
    97,702.70x = 146,602.65 × 38,540.30
  4. Step 4: Simplify right side
    97,702.70x = 5,650,110,111.80
  5. Step 5: Solve for x
    x = 5,650,110,111.80/97,702.70
  6. Step 6: Final answer
    x = 57,829.62

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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.