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Finding the Fourth Proportional to 215,159.81, 322,886.70 and 74,918.42

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Solution

The fourth proportional to 215,159.81, 322,886.70 and 74,918.42 is: 112,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,159.81 : 322,886.70 = 74,918.42 : x
  2. Step 2: Convert to fraction form
    215,159.81/322,886.70 = 74,918.42/x
  3. Step 3: Cross multiply
    215,159.81x = 322,886.70 × 74,918.42
  4. Step 4: Simplify right side
    215,159.81x = 24,190,161,403.01
  5. Step 5: Solve for x
    x = 24,190,161,403.01/215,159.81
  6. Step 6: Final answer
    x = 112,428.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.