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Finding the Fourth Proportional to 223,266.51, 308,106.56 and 121,291.16

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Solution

The fourth proportional to 223,266.51, 308,106.56 and 121,291.16 is: 167,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,266.51 : 308,106.56 = 121,291.16 : x
  2. Step 2: Convert to fraction form
    223,266.51/308,106.56 = 121,291.16/x
  3. Step 3: Cross multiply
    223,266.51x = 308,106.56 × 121,291.16
  4. Step 4: Simplify right side
    223,266.51x = 37,370,599,919.02
  5. Step 5: Solve for x
    x = 37,370,599,919.02/223,266.51
  6. Step 6: Final answer
    x = 167,381.13

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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.