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Finding the Fourth Proportional to 53,124.60, 79,689.78 and 19,853.40

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Solution

The fourth proportional to 53,124.60, 79,689.78 and 19,853.40 is: 29,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,124.60 : 79,689.78 = 19,853.40 : x
  2. Step 2: Convert to fraction form
    53,124.60/79,689.78 = 19,853.40/x
  3. Step 3: Cross multiply
    53,124.60x = 79,689.78 × 19,853.40
  4. Step 4: Simplify right side
    53,124.60x = 1,582,113,078.25
  5. Step 5: Solve for x
    x = 1,582,113,078.25/53,124.60
  6. Step 6: Final answer
    x = 29,781.18

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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.