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Finding the Fourth Proportional to 223,164.17, 307,813.70 and 142,555.89

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Solution

The fourth proportional to 223,164.17, 307,813.70 and 142,555.89 is: 196,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,164.17 : 307,813.70 = 142,555.89 : x
  2. Step 2: Convert to fraction form
    223,164.17/307,813.70 = 142,555.89/x
  3. Step 3: Cross multiply
    223,164.17x = 307,813.70 × 142,555.89
  4. Step 4: Simplify right side
    223,164.17x = 43,880,655,244.91
  5. Step 5: Solve for x
    x = 43,880,655,244.91/223,164.17
  6. Step 6: Final answer
    x = 196,629.49

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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.