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Finding the Fourth Proportional to 77,356.80, 115,881.60 and 42,233.60

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Solution

The fourth proportional to 77,356.80, 115,881.60 and 42,233.60 is: 63,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,356.80 : 115,881.60 = 42,233.60 : x
  2. Step 2: Convert to fraction form
    77,356.80/115,881.60 = 42,233.60/x
  3. Step 3: Cross multiply
    77,356.80x = 115,881.60 × 42,233.60
  4. Step 4: Simplify right side
    77,356.80x = 4,894,097,141.76
  5. Step 5: Solve for x
    x = 4,894,097,141.76/77,356.80
  6. Step 6: Final answer
    x = 63,266.54

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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.