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Finding the Fourth Proportional to 71,573.01, 107,345.66 and 21,641.40

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Solution

The fourth proportional to 71,573.01, 107,345.66 and 21,641.40 is: 32,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,573.01 : 107,345.66 = 21,641.40 : x
  2. Step 2: Convert to fraction form
    71,573.01/107,345.66 = 21,641.40/x
  3. Step 3: Cross multiply
    71,573.01x = 107,345.66 × 21,641.40
  4. Step 4: Simplify right side
    71,573.01x = 2,323,110,742.63
  5. Step 5: Solve for x
    x = 2,323,110,742.63/71,573.01
  6. Step 6: Final answer
    x = 32,457.92

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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.