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Finding the Fourth Proportional to 77,008.86, 106,265.31 and 43,012.62

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Solution

The fourth proportional to 77,008.86, 106,265.31 and 43,012.62 is: 59,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,008.86 : 106,265.31 = 43,012.62 : x
  2. Step 2: Convert to fraction form
    77,008.86/106,265.31 = 43,012.62/x
  3. Step 3: Cross multiply
    77,008.86x = 106,265.31 × 43,012.62
  4. Step 4: Simplify right side
    77,008.86x = 4,570,749,398.21
  5. Step 5: Solve for x
    x = 4,570,749,398.21/77,008.86
  6. Step 6: Final answer
    x = 59,353.55

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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.