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Finding the Fourth Proportional to 66,458.53, 99,687.80 and 19,711

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Solution

The fourth proportional to 66,458.53, 99,687.80 and 19,711 is: 29,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,458.53 : 99,687.80 = 19,711 : x
  2. Step 2: Convert to fraction form
    66,458.53/99,687.80 = 19,711/x
  3. Step 3: Cross multiply
    66,458.53x = 99,687.80 × 19,711
  4. Step 4: Simplify right side
    66,458.53x = 1,964,946,225.80
  5. Step 5: Solve for x
    x = 1,964,946,225.80/66,458.53
  6. Step 6: Final answer
    x = 29,566.50

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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.