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Finding the Fourth Proportional to 104,193.31, 156,327.42 and 40,978.38

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Solution

The fourth proportional to 104,193.31, 156,327.42 and 40,978.38 is: 61,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,193.31 : 156,327.42 = 40,978.38 : x
  2. Step 2: Convert to fraction form
    104,193.31/156,327.42 = 40,978.38/x
  3. Step 3: Cross multiply
    104,193.31x = 156,327.42 × 40,978.38
  4. Step 4: Simplify right side
    104,193.31x = 6,406,044,421.18
  5. Step 5: Solve for x
    x = 6,406,044,421.18/104,193.31
  6. Step 6: Final answer
    x = 61,482.30

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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.