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Finding the Fourth Proportional to 103,803.15, 155,583.76 and 47,649.19

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Solution

The fourth proportional to 103,803.15, 155,583.76 and 47,649.19 is: 71,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,803.15 : 155,583.76 = 47,649.19 : x
  2. Step 2: Convert to fraction form
    103,803.15/155,583.76 = 47,649.19/x
  3. Step 3: Cross multiply
    103,803.15x = 155,583.76 × 47,649.19
  4. Step 4: Simplify right side
    103,803.15x = 7,413,440,141.15
  5. Step 5: Solve for x
    x = 7,413,440,141.15/103,803.15
  6. Step 6: Final answer
    x = 71,418.26

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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.