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Finding the Fourth Proportional to 104,654.40, 156,978.10 and 45,490.08

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Solution

The fourth proportional to 104,654.40, 156,978.10 and 45,490.08 is: 68,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,654.40 : 156,978.10 = 45,490.08 : x
  2. Step 2: Convert to fraction form
    104,654.40/156,978.10 = 45,490.08/x
  3. Step 3: Cross multiply
    104,654.40x = 156,978.10 × 45,490.08
  4. Step 4: Simplify right side
    104,654.40x = 7,140,946,327.25
  5. Step 5: Solve for x
    x = 7,140,946,327.25/104,654.40
  6. Step 6: Final answer
    x = 68,233.60

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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.