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Finding the Fourth Proportional to 104,902.72, 157,178.88 and 45,649.60

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Solution

The fourth proportional to 104,902.72, 157,178.88 and 45,649.60 is: 68,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,902.72 : 157,178.88 = 45,649.60 : x
  2. Step 2: Convert to fraction form
    104,902.72/157,178.88 = 45,649.60/x
  3. Step 3: Cross multiply
    104,902.72x = 157,178.88 × 45,649.60
  4. Step 4: Simplify right side
    104,902.72x = 7,175,153,000.45
  5. Step 5: Solve for x
    x = 7,175,153,000.45/104,902.72
  6. Step 6: Final answer
    x = 68,398.16

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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.