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Finding the Fourth Proportional to 221,985, 306,340.58 and 142,497

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Solution

The fourth proportional to 221,985, 306,340.58 and 142,497 is: 196,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,985 : 306,340.58 = 142,497 : x
  2. Step 2: Convert to fraction form
    221,985/306,340.58 = 142,497/x
  3. Step 3: Cross multiply
    221,985x = 306,340.58 × 142,497
  4. Step 4: Simplify right side
    221,985x = 43,652,613,628.26
  5. Step 5: Solve for x
    x = 43,652,613,628.26/221,985
  6. Step 6: Final answer
    x = 196,646.68

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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.