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Finding the Fourth Proportional to 223,084.50, 307,742.50 and 142,427.23

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Solution

The fourth proportional to 223,084.50, 307,742.50 and 142,427.23 is: 196,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,084.50 : 307,742.50 = 142,427.23 : x
  2. Step 2: Convert to fraction form
    223,084.50/307,742.50 = 142,427.23/x
  3. Step 3: Cross multiply
    223,084.50x = 307,742.50 × 142,427.23
  4. Step 4: Simplify right side
    223,084.50x = 43,830,911,236.95
  5. Step 5: Solve for x
    x = 43,830,911,236.95/223,084.50
  6. Step 6: Final answer
    x = 196,476.73

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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.