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Finding the Fourth Proportional to 71,802.74, 107,719.65 and 21,881.52

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Solution

The fourth proportional to 71,802.74, 107,719.65 and 21,881.52 is: 32,827.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,802.74 : 107,719.65 = 21,881.52 : x
  2. Step 2: Convert to fraction form
    71,802.74/107,719.65 = 21,881.52/x
  3. Step 3: Cross multiply
    71,802.74x = 107,719.65 × 21,881.52
  4. Step 4: Simplify right side
    71,802.74x = 2,357,069,675.87
  5. Step 5: Solve for x
    x = 2,357,069,675.87/71,802.74
  6. Step 6: Final answer
    x = 32,827.01

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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.