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Finding the Fourth Proportional to 218,961.36, 302,223.60 and 142,689.60

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Solution

The fourth proportional to 218,961.36, 302,223.60 and 142,689.60 is: 196,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,961.36 : 302,223.60 = 142,689.60 : x
  2. Step 2: Convert to fraction form
    218,961.36/302,223.60 = 142,689.60/x
  3. Step 3: Cross multiply
    218,961.36x = 302,223.60 × 142,689.60
  4. Step 4: Simplify right side
    218,961.36x = 43,124,164,594.56
  5. Step 5: Solve for x
    x = 43,124,164,594.56/218,961.36
  6. Step 6: Final answer
    x = 196,948.74

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1.5x scale

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.