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Finding the Fourth Proportional to 85,806.52, 128,707.92 and 23,477.02

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Solution

The fourth proportional to 85,806.52, 128,707.92 and 23,477.02 is: 35,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,806.52 : 128,707.92 = 23,477.02 : x
  2. Step 2: Convert to fraction form
    85,806.52/128,707.92 = 23,477.02/x
  3. Step 3: Cross multiply
    85,806.52x = 128,707.92 × 23,477.02
  4. Step 4: Simplify right side
    85,806.52x = 3,021,678,412.00
  5. Step 5: Solve for x
    x = 3,021,678,412.00/85,806.52
  6. Step 6: Final answer
    x = 35,215.02

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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.