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Finding the Fourth Proportional to 212,046, 292,626.84 and 121,401.60

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Solution

The fourth proportional to 212,046, 292,626.84 and 121,401.60 is: 167,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,046 : 292,626.84 = 121,401.60 : x
  2. Step 2: Convert to fraction form
    212,046/292,626.84 = 121,401.60/x
  3. Step 3: Cross multiply
    212,046x = 292,626.84 × 121,401.60
  4. Step 4: Simplify right side
    212,046x = 35,525,366,578.94
  5. Step 5: Solve for x
    x = 35,525,366,578.94/212,046
  6. Step 6: Final answer
    x = 167,536.13

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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.