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Finding the Fourth Proportional to 236,264.88, 354,457.20 and 78,494.16

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Solution

The fourth proportional to 236,264.88, 354,457.20 and 78,494.16 is: 117,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,264.88 : 354,457.20 = 78,494.16 : x
  2. Step 2: Convert to fraction form
    236,264.88/354,457.20 = 78,494.16/x
  3. Step 3: Cross multiply
    236,264.88x = 354,457.20 × 78,494.16
  4. Step 4: Simplify right side
    236,264.88x = 27,822,820,169.95
  5. Step 5: Solve for x
    x = 27,822,820,169.95/236,264.88
  6. Step 6: Final answer
    x = 117,761.13

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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.