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Finding the Fourth Proportional to 55,802.10, 76,978.32 and 35,637.78

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Solution

The fourth proportional to 55,802.10, 76,978.32 and 35,637.78 is: 49,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,802.10 : 76,978.32 = 35,637.78 : x
  2. Step 2: Convert to fraction form
    55,802.10/76,978.32 = 35,637.78/x
  3. Step 3: Cross multiply
    55,802.10x = 76,978.32 × 35,637.78
  4. Step 4: Simplify right side
    55,802.10x = 2,743,336,432.93
  5. Step 5: Solve for x
    x = 2,743,336,432.93/55,802.10
  6. Step 6: Final answer
    x = 49,161.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.