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Finding the Fourth Proportional to 78,415.80, 117,426.60 and 60,897.84

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Solution

The fourth proportional to 78,415.80, 117,426.60 and 60,897.84 is: 91,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,415.80 : 117,426.60 = 60,897.84 : x
  2. Step 2: Convert to fraction form
    78,415.80/117,426.60 = 60,897.84/x
  3. Step 3: Cross multiply
    78,415.80x = 117,426.60 × 60,897.84
  4. Step 4: Simplify right side
    78,415.80x = 7,151,026,298.54
  5. Step 5: Solve for x
    x = 7,151,026,298.54/78,415.80
  6. Step 6: Final answer
    x = 91,193.69

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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.