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Finding the Fourth Proportional to 53,142, 73,336.48 and 29,269.40

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Solution

The fourth proportional to 53,142, 73,336.48 and 29,269.40 is: 40,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,142 : 73,336.48 = 29,269.40 : x
  2. Step 2: Convert to fraction form
    53,142/73,336.48 = 29,269.40/x
  3. Step 3: Cross multiply
    53,142x = 73,336.48 × 29,269.40
  4. Step 4: Simplify right side
    53,142x = 2,146,514,767.71
  5. Step 5: Solve for x
    x = 2,146,514,767.71/53,142
  6. Step 6: Final answer
    x = 40,392.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.