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Finding the Fourth Proportional to 32,703.86, 45,140.02 and 20,139.14

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Solution

The fourth proportional to 32,703.86, 45,140.02 and 20,139.14 is: 27,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,703.86 : 45,140.02 = 20,139.14 : x
  2. Step 2: Convert to fraction form
    32,703.86/45,140.02 = 20,139.14/x
  3. Step 3: Cross multiply
    32,703.86x = 45,140.02 × 20,139.14
  4. Step 4: Simplify right side
    32,703.86x = 909,081,182.38
  5. Step 5: Solve for x
    x = 909,081,182.38/32,703.86
  6. Step 6: Final answer
    x = 27,797.37

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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.