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Finding the Fourth Proportional to 47,389.71, 71,022.87 and 19,276.98

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Solution

The fourth proportional to 47,389.71, 71,022.87 and 19,276.98 is: 28,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,389.71 : 71,022.87 = 19,276.98 : x
  2. Step 2: Convert to fraction form
    47,389.71/71,022.87 = 19,276.98/x
  3. Step 3: Cross multiply
    47,389.71x = 71,022.87 × 19,276.98
  4. Step 4: Simplify right side
    47,389.71x = 1,369,106,444.53
  5. Step 5: Solve for x
    x = 1,369,106,444.53/47,389.71
  6. Step 6: Final answer
    x = 28,890.37

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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.