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Finding the Fourth Proportional to 148,978.55, 205,594.46 and 81,000.10

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Solution

The fourth proportional to 148,978.55, 205,594.46 and 81,000.10 is: 111,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,978.55 : 205,594.46 = 81,000.10 : x
  2. Step 2: Convert to fraction form
    148,978.55/205,594.46 = 81,000.10/x
  3. Step 3: Cross multiply
    148,978.55x = 205,594.46 × 81,000.10
  4. Step 4: Simplify right side
    148,978.55x = 16,653,171,819.45
  5. Step 5: Solve for x
    x = 16,653,171,819.45/148,978.55
  6. Step 6: Final answer
    x = 111,782.35

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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.