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Finding the Fourth Proportional to 236,232.66, 354,271.98 and 78,418.74

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Solution

The fourth proportional to 236,232.66, 354,271.98 and 78,418.74 is: 117,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,232.66 : 354,271.98 = 78,418.74 : x
  2. Step 2: Convert to fraction form
    236,232.66/354,271.98 = 78,418.74/x
  3. Step 3: Cross multiply
    236,232.66x = 354,271.98 × 78,418.74
  4. Step 4: Simplify right side
    236,232.66x = 27,781,562,288.91
  5. Step 5: Solve for x
    x = 27,781,562,288.91/236,232.66
  6. Step 6: Final answer
    x = 117,602.55

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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.