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Finding the Fourth Proportional to 85,807.52, 128,709.42 and 23,478.02

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Solution

The fourth proportional to 85,807.52, 128,709.42 and 23,478.02 is: 35,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,807.52 : 128,709.42 = 23,478.02 : x
  2. Step 2: Convert to fraction form
    85,807.52/128,709.42 = 23,478.02/x
  3. Step 3: Cross multiply
    85,807.52x = 128,709.42 × 23,478.02
  4. Step 4: Simplify right side
    85,807.52x = 3,021,842,336.95
  5. Step 5: Solve for x
    x = 3,021,842,336.95/85,807.52
  6. Step 6: Final answer
    x = 35,216.52

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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.