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Finding the Fourth Proportional to 78,201.52, 117,277.50 and 28,275.01

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Solution

The fourth proportional to 78,201.52, 117,277.50 and 28,275.01 is: 42,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,201.52 : 117,277.50 = 28,275.01 : x
  2. Step 2: Convert to fraction form
    78,201.52/117,277.50 = 28,275.01/x
  3. Step 3: Cross multiply
    78,201.52x = 117,277.50 × 28,275.01
  4. Step 4: Simplify right side
    78,201.52x = 3,316,022,485.28
  5. Step 5: Solve for x
    x = 3,316,022,485.28/78,201.52
  6. Step 6: Final answer
    x = 42,403.56

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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.