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Finding the Fourth Proportional to 78,230.54, 107,957.55 and 42,420.50

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Solution

The fourth proportional to 78,230.54, 107,957.55 and 42,420.50 is: 58,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,230.54 : 107,957.55 = 42,420.50 : x
  2. Step 2: Convert to fraction form
    78,230.54/107,957.55 = 42,420.50/x
  3. Step 3: Cross multiply
    78,230.54x = 107,957.55 × 42,420.50
  4. Step 4: Simplify right side
    78,230.54x = 4,579,612,709.99
  5. Step 5: Solve for x
    x = 4,579,612,709.99/78,230.54
  6. Step 6: Final answer
    x = 58,539.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.