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Finding the Fourth Proportional to 74,474.64, 102,740.72 and 65,985.36

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Solution

The fourth proportional to 74,474.64, 102,740.72 and 65,985.36 is: 91,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,474.64 : 102,740.72 = 65,985.36 : x
  2. Step 2: Convert to fraction form
    74,474.64/102,740.72 = 65,985.36/x
  3. Step 3: Cross multiply
    74,474.64x = 102,740.72 × 65,985.36
  4. Step 4: Simplify right side
    74,474.64x = 6,779,383,395.86
  5. Step 5: Solve for x
    x = 6,779,383,395.86/74,474.64
  6. Step 6: Final answer
    x = 91,029.42

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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.