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Finding the Fourth Proportional to 53,840.64, 80,743.71 and 17,810.40

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Solution

The fourth proportional to 53,840.64, 80,743.71 and 17,810.40 is: 26,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,840.64 : 80,743.71 = 17,810.40 : x
  2. Step 2: Convert to fraction form
    53,840.64/80,743.71 = 17,810.40/x
  3. Step 3: Cross multiply
    53,840.64x = 80,743.71 × 17,810.40
  4. Step 4: Simplify right side
    53,840.64x = 1,438,077,772.58
  5. Step 5: Solve for x
    x = 1,438,077,772.58/53,840.64
  6. Step 6: Final answer
    x = 26,709.89

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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.