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Finding the Fourth Proportional to 77,356.79, 116,035.29 and 21,197.40

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Solution

The fourth proportional to 77,356.79, 116,035.29 and 21,197.40 is: 31,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,356.79 : 116,035.29 = 21,197.40 : x
  2. Step 2: Convert to fraction form
    77,356.79/116,035.29 = 21,197.40/x
  3. Step 3: Cross multiply
    77,356.79x = 116,035.29 × 21,197.40
  4. Step 4: Simplify right side
    77,356.79x = 2,459,646,456.25
  5. Step 5: Solve for x
    x = 2,459,646,456.25/77,356.79
  6. Step 6: Final answer
    x = 31,796.13

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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.