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Finding the Fourth Proportional to 55,896, 77,136.78 and 30,402.55

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Solution

The fourth proportional to 55,896, 77,136.78 and 30,402.55 is: 41,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,896 : 77,136.78 = 30,402.55 : x
  2. Step 2: Convert to fraction form
    55,896/77,136.78 = 30,402.55/x
  3. Step 3: Cross multiply
    55,896x = 77,136.78 × 30,402.55
  4. Step 4: Simplify right side
    55,896x = 2,345,154,810.79
  5. Step 5: Solve for x
    x = 2,345,154,810.79/55,896
  6. Step 6: Final answer
    x = 41,955.68

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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.