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Finding the Fourth Proportional to 51,332, 77,028.72 and 22,148

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Solution

The fourth proportional to 51,332, 77,028.72 and 22,148 is: 33,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,332 : 77,028.72 = 22,148 : x
  2. Step 2: Convert to fraction form
    51,332/77,028.72 = 22,148/x
  3. Step 3: Cross multiply
    51,332x = 77,028.72 × 22,148
  4. Step 4: Simplify right side
    51,332x = 1,706,032,090.56
  5. Step 5: Solve for x
    x = 1,706,032,090.56/51,332
  6. Step 6: Final answer
    x = 33,235.25

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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.