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Finding the Fourth Proportional to 103,078.89, 142,335.54 and 77,540.99

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Solution

The fourth proportional to 103,078.89, 142,335.54 and 77,540.99 is: 107,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,078.89 : 142,335.54 = 77,540.99 : x
  2. Step 2: Convert to fraction form
    103,078.89/142,335.54 = 77,540.99/x
  3. Step 3: Cross multiply
    103,078.89x = 142,335.54 × 77,540.99
  4. Step 4: Simplify right side
    103,078.89x = 11,036,837,972.11
  5. Step 5: Solve for x
    x = 11,036,837,972.11/103,078.89
  6. Step 6: Final answer
    x = 107,071.76

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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.