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Finding the Fourth Proportional to 111,078, 153,287.64 and 60,777

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Solution

The fourth proportional to 111,078, 153,287.64 and 60,777 is: 83,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,078 : 153,287.64 = 60,777 : x
  2. Step 2: Convert to fraction form
    111,078/153,287.64 = 60,777/x
  3. Step 3: Cross multiply
    111,078x = 153,287.64 × 60,777
  4. Step 4: Simplify right side
    111,078x = 9,316,362,896.28
  5. Step 5: Solve for x
    x = 9,316,362,896.28/111,078
  6. Step 6: Final answer
    x = 83,872.26

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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.