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Finding the Fourth Proportional to 102,553, 153,902.40 and 40,223.50

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Solution

The fourth proportional to 102,553, 153,902.40 and 40,223.50 is: 60,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,553 : 153,902.40 = 40,223.50 : x
  2. Step 2: Convert to fraction form
    102,553/153,902.40 = 40,223.50/x
  3. Step 3: Cross multiply
    102,553x = 153,902.40 × 40,223.50
  4. Step 4: Simplify right side
    102,553x = 6,190,493,186.40
  5. Step 5: Solve for x
    x = 6,190,493,186.40/102,553
  6. Step 6: Final answer
    x = 60,363.84

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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.