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Finding the Fourth Proportional to 74,654.85, 102,987.41 and 47,775.81

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Solution

The fourth proportional to 74,654.85, 102,987.41 and 47,775.81 is: 65,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,654.85 : 102,987.41 = 47,775.81 : x
  2. Step 2: Convert to fraction form
    74,654.85/102,987.41 = 47,775.81/x
  3. Step 3: Cross multiply
    74,654.85x = 102,987.41 × 47,775.81
  4. Step 4: Simplify right side
    74,654.85x = 4,920,306,693.67
  5. Step 5: Solve for x
    x = 4,920,306,693.67/74,654.85
  6. Step 6: Final answer
    x = 65,907.40

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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.