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Finding the Fourth Proportional to 223,681, 308,681.94 and 123,081.16

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Solution

The fourth proportional to 223,681, 308,681.94 and 123,081.16 is: 169,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,681 : 308,681.94 = 123,081.16 : x
  2. Step 2: Convert to fraction form
    223,681/308,681.94 = 123,081.16/x
  3. Step 3: Cross multiply
    223,681x = 308,681.94 × 123,081.16
  4. Step 4: Simplify right side
    223,681x = 37,992,931,246.25
  5. Step 5: Solve for x
    x = 37,992,931,246.25/223,681
  6. Step 6: Final answer
    x = 169,853.19

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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.