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Finding the Fourth Proportional to 222,011.16, 306,369.18 and 121,407

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Solution

The fourth proportional to 222,011.16, 306,369.18 and 121,407 is: 167,538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,011.16 : 306,369.18 = 121,407 : x
  2. Step 2: Convert to fraction form
    222,011.16/306,369.18 = 121,407/x
  3. Step 3: Cross multiply
    222,011.16x = 306,369.18 × 121,407
  4. Step 4: Simplify right side
    222,011.16x = 37,195,363,036.26
  5. Step 5: Solve for x
    x = 37,195,363,036.26/222,011.16
  6. Step 6: Final answer
    x = 167,538.26

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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.