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Finding the Fourth Proportional to 51,642.50, 77,448.73 and 21,655.91

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Solution

The fourth proportional to 51,642.50, 77,448.73 and 21,655.91 is: 32,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,642.50 : 77,448.73 = 21,655.91 : x
  2. Step 2: Convert to fraction form
    51,642.50/77,448.73 = 21,655.91/x
  3. Step 3: Cross multiply
    51,642.50x = 77,448.73 × 21,655.91
  4. Step 4: Simplify right side
    51,642.50x = 1,677,222,726.49
  5. Step 5: Solve for x
    x = 1,677,222,726.49/51,642.50
  6. Step 6: Final answer
    x = 32,477.57

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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.