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Finding the Fourth Proportional to 55,641.90, 83,647.54 and 51,532.78

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Solution

The fourth proportional to 55,641.90, 83,647.54 and 51,532.78 is: 77,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,641.90 : 83,647.54 = 51,532.78 : x
  2. Step 2: Convert to fraction form
    55,641.90/83,647.54 = 51,532.78/x
  3. Step 3: Cross multiply
    55,641.90x = 83,647.54 × 51,532.78
  4. Step 4: Simplify right side
    55,641.90x = 4,310,590,276.36
  5. Step 5: Solve for x
    x = 4,310,590,276.36/55,641.90
  6. Step 6: Final answer
    x = 77,470.22

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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.