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Finding the Fourth Proportional to 74,630.16, 102,910.50 and 47,773.80

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Solution

The fourth proportional to 74,630.16, 102,910.50 and 47,773.80 is: 65,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,630.16 : 102,910.50 = 47,773.80 : x
  2. Step 2: Convert to fraction form
    74,630.16/102,910.50 = 47,773.80/x
  3. Step 3: Cross multiply
    74,630.16x = 102,910.50 × 47,773.80
  4. Step 4: Simplify right side
    74,630.16x = 4,916,425,644.90
  5. Step 5: Solve for x
    x = 4,916,425,644.90/74,630.16
  6. Step 6: Final answer
    x = 65,877.20

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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.