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Finding the Fourth Proportional to 81,957.60, 122,947.35 and 28,643.40

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Solution

The fourth proportional to 81,957.60, 122,947.35 and 28,643.40 is: 42,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,957.60 : 122,947.35 = 28,643.40 : x
  2. Step 2: Convert to fraction form
    81,957.60/122,947.35 = 28,643.40/x
  3. Step 3: Cross multiply
    81,957.60x = 122,947.35 × 28,643.40
  4. Step 4: Simplify right side
    81,957.60x = 3,521,630,124.99
  5. Step 5: Solve for x
    x = 3,521,630,124.99/81,957.60
  6. Step 6: Final answer
    x = 42,968.93

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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.