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Finding the Fourth Proportional to 66,464, 91,721.13 and 38,172.32

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Solution

The fourth proportional to 66,464, 91,721.13 and 38,172.32 is: 52,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,464 : 91,721.13 = 38,172.32 : x
  2. Step 2: Convert to fraction form
    66,464/91,721.13 = 38,172.32/x
  3. Step 3: Cross multiply
    66,464x = 91,721.13 × 38,172.32
  4. Step 4: Simplify right side
    66,464x = 3,501,208,325.12
  5. Step 5: Solve for x
    x = 3,501,208,325.12/66,464
  6. Step 6: Final answer
    x = 52,678.27

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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.