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Finding the Fourth Proportional to 101,585.71, 140,189.33 and 61,291.69

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Solution

The fourth proportional to 101,585.71, 140,189.33 and 61,291.69 is: 84,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,585.71 : 140,189.33 = 61,291.69 : x
  2. Step 2: Convert to fraction form
    101,585.71/140,189.33 = 61,291.69/x
  3. Step 3: Cross multiply
    101,585.71x = 140,189.33 × 61,291.69
  4. Step 4: Simplify right side
    101,585.71x = 8,592,440,758.42
  5. Step 5: Solve for x
    x = 8,592,440,758.42/101,585.71
  6. Step 6: Final answer
    x = 84,583.16

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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.