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Finding the Fourth Proportional to 53,281.82, 79,901.80 and 19,983.74

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Solution

The fourth proportional to 53,281.82, 79,901.80 and 19,983.74 is: 29,967.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,281.82 : 79,901.80 = 19,983.74 : x
  2. Step 2: Convert to fraction form
    53,281.82/79,901.80 = 19,983.74/x
  3. Step 3: Cross multiply
    53,281.82x = 79,901.80 × 19,983.74
  4. Step 4: Simplify right side
    53,281.82x = 1,596,736,347.26
  5. Step 5: Solve for x
    x = 1,596,736,347.26/53,281.82
  6. Step 6: Final answer
    x = 29,967.75

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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.