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Finding the Fourth Proportional to 78,023.76, 116,965.36 and 28,068.73

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Solution

The fourth proportional to 78,023.76, 116,965.36 and 28,068.73 is: 42,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,023.76 : 116,965.36 = 28,068.73 : x
  2. Step 2: Convert to fraction form
    78,023.76/116,965.36 = 28,068.73/x
  3. Step 3: Cross multiply
    78,023.76x = 116,965.36 × 28,068.73
  4. Step 4: Simplify right side
    78,023.76x = 3,283,069,109.19
  5. Step 5: Solve for x
    x = 3,283,069,109.19/78,023.76
  6. Step 6: Final answer
    x = 42,077.81

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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.