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Finding the Fourth Proportional to 147,816, 221,725.92 and 49,320

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Solution

The fourth proportional to 147,816, 221,725.92 and 49,320 is: 73,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,816 : 221,725.92 = 49,320 : x
  2. Step 2: Convert to fraction form
    147,816/221,725.92 = 49,320/x
  3. Step 3: Cross multiply
    147,816x = 221,725.92 × 49,320
  4. Step 4: Simplify right side
    147,816x = 10,935,522,374.40
  5. Step 5: Solve for x
    x = 10,935,522,374.40/147,816
  6. Step 6: Final answer
    x = 73,980.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.