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Finding the Fourth Proportional to 77,758.44, 116,637.88 and 21,601.60

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Solution

The fourth proportional to 77,758.44, 116,637.88 and 21,601.60 is: 32,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,758.44 : 116,637.88 = 21,601.60 : x
  2. Step 2: Convert to fraction form
    77,758.44/116,637.88 = 21,601.60/x
  3. Step 3: Cross multiply
    77,758.44x = 116,637.88 × 21,601.60
  4. Step 4: Simplify right side
    77,758.44x = 2,519,564,828.61
  5. Step 5: Solve for x
    x = 2,519,564,828.61/77,758.44
  6. Step 6: Final answer
    x = 32,402.46

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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.