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Finding the Fourth Proportional to 78,201.77, 117,277.88 and 28,275.26

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Solution

The fourth proportional to 78,201.77, 117,277.88 and 28,275.26 is: 42,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,201.77 : 117,277.88 = 28,275.26 : x
  2. Step 2: Convert to fraction form
    78,201.77/117,277.88 = 28,275.26/x
  3. Step 3: Cross multiply
    78,201.77x = 117,277.88 × 28,275.26
  4. Step 4: Simplify right side
    78,201.77x = 3,316,061,821.48
  5. Step 5: Solve for x
    x = 3,316,061,821.48/78,201.77
  6. Step 6: Final answer
    x = 42,403.93

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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.