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Finding the Fourth Proportional to 111,477.11, 153,828.25 and 66,147.28

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Solution

The fourth proportional to 111,477.11, 153,828.25 and 66,147.28 is: 91,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,477.11 : 153,828.25 = 66,147.28 : x
  2. Step 2: Convert to fraction form
    111,477.11/153,828.25 = 66,147.28/x
  3. Step 3: Cross multiply
    111,477.11x = 153,828.25 × 66,147.28
  4. Step 4: Simplify right side
    111,477.11x = 10,175,319,774.72
  5. Step 5: Solve for x
    x = 10,175,319,774.72/111,477.11
  6. Step 6: Final answer
    x = 91,277.22

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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.