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Finding the Fourth Proportional to 57,203.86, 78,894.54 and 40,264.18

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Solution

The fourth proportional to 57,203.86, 78,894.54 and 40,264.18 is: 55,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,203.86 : 78,894.54 = 40,264.18 : x
  2. Step 2: Convert to fraction form
    57,203.86/78,894.54 = 40,264.18/x
  3. Step 3: Cross multiply
    57,203.86x = 78,894.54 × 40,264.18
  4. Step 4: Simplify right side
    57,203.86x = 3,176,623,959.58
  5. Step 5: Solve for x
    x = 3,176,623,959.58/57,203.86
  6. Step 6: Final answer
    x = 55,531.64

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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.