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Finding the Fourth Proportional to 77,649.56, 116,476.93 and 21,484.97

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Solution

The fourth proportional to 77,649.56, 116,476.93 and 21,484.97 is: 32,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,649.56 : 116,476.93 = 21,484.97 : x
  2. Step 2: Convert to fraction form
    77,649.56/116,476.93 = 21,484.97/x
  3. Step 3: Cross multiply
    77,649.56x = 116,476.93 × 21,484.97
  4. Step 4: Simplify right side
    77,649.56x = 2,502,502,710.65
  5. Step 5: Solve for x
    x = 2,502,502,710.65/77,649.56
  6. Step 6: Final answer
    x = 32,228.16

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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.