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Finding the Fourth Proportional to 72,685.30, 109,027.95 and 47,802.10

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Solution

The fourth proportional to 72,685.30, 109,027.95 and 47,802.10 is: 71,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,685.30 : 109,027.95 = 47,802.10 : x
  2. Step 2: Convert to fraction form
    72,685.30/109,027.95 = 47,802.10/x
  3. Step 3: Cross multiply
    72,685.30x = 109,027.95 × 47,802.10
  4. Step 4: Simplify right side
    72,685.30x = 5,211,764,968.70
  5. Step 5: Solve for x
    x = 5,211,764,968.70/72,685.30
  6. Step 6: Final answer
    x = 71,703.15

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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.