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Finding the Fourth Proportional to 71,210.64, 106,790.40 and 21,281.44

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Solution

The fourth proportional to 71,210.64, 106,790.40 and 21,281.44 is: 31,914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,210.64 : 106,790.40 = 21,281.44 : x
  2. Step 2: Convert to fraction form
    71,210.64/106,790.40 = 21,281.44/x
  3. Step 3: Cross multiply
    71,210.64x = 106,790.40 × 21,281.44
  4. Step 4: Simplify right side
    71,210.64x = 2,272,653,490.18
  5. Step 5: Solve for x
    x = 2,272,653,490.18/71,210.64
  6. Step 6: Final answer
    x = 31,914.52

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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.