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Finding the Fourth Proportional to 63,665.90, 95,368.84 and 30,285

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Solution

The fourth proportional to 63,665.90, 95,368.84 and 30,285 is: 45,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,665.90 : 95,368.84 = 30,285 : x
  2. Step 2: Convert to fraction form
    63,665.90/95,368.84 = 30,285/x
  3. Step 3: Cross multiply
    63,665.90x = 95,368.84 × 30,285
  4. Step 4: Simplify right side
    63,665.90x = 2,888,245,319.40
  5. Step 5: Solve for x
    x = 2,888,245,319.40/63,665.90
  6. Step 6: Final answer
    x = 45,365.66

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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.