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Finding the Fourth Proportional to 77,648.78, 116,475.78 and 21,484.19

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Solution

The fourth proportional to 77,648.78, 116,475.78 and 21,484.19 is: 32,227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,648.78 : 116,475.78 = 21,484.19 : x
  2. Step 2: Convert to fraction form
    77,648.78/116,475.78 = 21,484.19/x
  3. Step 3: Cross multiply
    77,648.78x = 116,475.78 × 21,484.19
  4. Step 4: Simplify right side
    77,648.78x = 2,502,388,278.41
  5. Step 5: Solve for x
    x = 2,502,388,278.41/77,648.78
  6. Step 6: Final answer
    x = 32,227.01

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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.