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Finding the Fourth Proportional to 39,128.12, 53,978.87 and 23,206.76

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Solution

The fourth proportional to 39,128.12, 53,978.87 and 23,206.76 is: 32,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,128.12 : 53,978.87 = 23,206.76 : x
  2. Step 2: Convert to fraction form
    39,128.12/53,978.87 = 23,206.76/x
  3. Step 3: Cross multiply
    39,128.12x = 53,978.87 × 23,206.76
  4. Step 4: Simplify right side
    39,128.12x = 1,252,674,681.16
  5. Step 5: Solve for x
    x = 1,252,674,681.16/39,128.12
  6. Step 6: Final answer
    x = 32,014.69

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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.