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Finding the Fourth Proportional to 74,509, 102,816.16 and 43,877.24

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Solution

The fourth proportional to 74,509, 102,816.16 and 43,877.24 is: 60,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,509 : 102,816.16 = 43,877.24 : x
  2. Step 2: Convert to fraction form
    74,509/102,816.16 = 43,877.24/x
  3. Step 3: Cross multiply
    74,509x = 102,816.16 × 43,877.24
  4. Step 4: Simplify right side
    74,509x = 4,511,289,328.20
  5. Step 5: Solve for x
    x = 4,511,289,328.20/74,509
  6. Step 6: Final answer
    x = 60,546.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.