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Finding the Fourth Proportional to 53,242.71, 79,894.60 and 21,646.94

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Solution

The fourth proportional to 53,242.71, 79,894.60 and 21,646.94 is: 32,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,242.71 : 79,894.60 = 21,646.94 : x
  2. Step 2: Convert to fraction form
    53,242.71/79,894.60 = 21,646.94/x
  3. Step 3: Cross multiply
    53,242.71x = 79,894.60 × 21,646.94
  4. Step 4: Simplify right side
    53,242.71x = 1,729,473,504.29
  5. Step 5: Solve for x
    x = 1,729,473,504.29/53,242.71
  6. Step 6: Final answer
    x = 32,482.82

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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.