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Finding the Fourth Proportional to 236,441.60, 354,585.60 and 78,643.20

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Solution

The fourth proportional to 236,441.60, 354,585.60 and 78,643.20 is: 117,939.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,441.60 : 354,585.60 = 78,643.20 : x
  2. Step 2: Convert to fraction form
    236,441.60/354,585.60 = 78,643.20/x
  3. Step 3: Cross multiply
    236,441.60x = 354,585.60 × 78,643.20
  4. Step 4: Simplify right side
    236,441.60x = 27,885,746,257.92
  5. Step 5: Solve for x
    x = 27,885,746,257.92/236,441.60
  6. Step 6: Final answer
    x = 117,939.26

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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.