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Finding the Fourth Proportional to 51,356, 77,040.48 and 17,628.59

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Solution

The fourth proportional to 51,356, 77,040.48 and 17,628.59 is: 26,445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,356 : 77,040.48 = 17,628.59 : x
  2. Step 2: Convert to fraction form
    51,356/77,040.48 = 17,628.59/x
  3. Step 3: Cross multiply
    51,356x = 77,040.48 × 17,628.59
  4. Step 4: Simplify right side
    51,356x = 1,358,115,035.32
  5. Step 5: Solve for x
    x = 1,358,115,035.32/51,356
  6. Step 6: Final answer
    x = 26,445.11

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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.