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Finding the Fourth Proportional to 217,172.88, 299,695.68 and 121,681.44

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Solution

The fourth proportional to 217,172.88, 299,695.68 and 121,681.44 is: 167,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,172.88 : 299,695.68 = 121,681.44 : x
  2. Step 2: Convert to fraction form
    217,172.88/299,695.68 = 121,681.44/x
  3. Step 3: Cross multiply
    217,172.88x = 299,695.68 × 121,681.44
  4. Step 4: Simplify right side
    217,172.88x = 36,467,401,904.18
  5. Step 5: Solve for x
    x = 36,467,401,904.18/217,172.88
  6. Step 6: Final answer
    x = 167,918.77

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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.