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Finding the Fourth Proportional to 111,478, 153,839.64 and 61,177

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Solution

The fourth proportional to 111,478, 153,839.64 and 61,177 is: 84,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,478 : 153,839.64 = 61,177 : x
  2. Step 2: Convert to fraction form
    111,478/153,839.64 = 61,177/x
  3. Step 3: Cross multiply
    111,478x = 153,839.64 × 61,177
  4. Step 4: Simplify right side
    111,478x = 9,411,447,656.28
  5. Step 5: Solve for x
    x = 9,411,447,656.28/111,478
  6. Step 6: Final answer
    x = 84,424.26

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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.