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Finding the Fourth Proportional to 103,877.91, 155,693.81 and 47,670.66

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Solution

The fourth proportional to 103,877.91, 155,693.81 and 47,670.66 is: 71,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,877.91 : 155,693.81 = 47,670.66 : x
  2. Step 2: Convert to fraction form
    103,877.91/155,693.81 = 47,670.66/x
  3. Step 3: Cross multiply
    103,877.91x = 155,693.81 × 47,670.66
  4. Step 4: Simplify right side
    103,877.91x = 7,422,026,799.79
  5. Step 5: Solve for x
    x = 7,422,026,799.79/103,877.91
  6. Step 6: Final answer
    x = 71,449.52

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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.