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Finding the Fourth Proportional to 100,681.29, 151,071.08 and 71,288.01

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Solution

The fourth proportional to 100,681.29, 151,071.08 and 71,288.01 is: 106,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,681.29 : 151,071.08 = 71,288.01 : x
  2. Step 2: Convert to fraction form
    100,681.29/151,071.08 = 71,288.01/x
  3. Step 3: Cross multiply
    100,681.29x = 151,071.08 × 71,288.01
  4. Step 4: Simplify right side
    100,681.29x = 10,769,556,305.31
  5. Step 5: Solve for x
    x = 10,769,556,305.31/100,681.29
  6. Step 6: Final answer
    x = 106,966.81

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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.