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Finding the Fourth Proportional to 77,881.96, 117,066.79 and 51,398.14

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Solution

The fourth proportional to 77,881.96, 117,066.79 and 51,398.14 is: 77,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,881.96 : 117,066.79 = 51,398.14 : x
  2. Step 2: Convert to fraction form
    77,881.96/117,066.79 = 51,398.14/x
  3. Step 3: Cross multiply
    77,881.96x = 117,066.79 × 51,398.14
  4. Step 4: Simplify right side
    77,881.96x = 6,017,014,717.48
  5. Step 5: Solve for x
    x = 6,017,014,717.48/77,881.96
  6. Step 6: Final answer
    x = 77,258.14

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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.