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Finding the Fourth Proportional to 243,043.30, 364,564.95 and 85,214.80

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Solution

The fourth proportional to 243,043.30, 364,564.95 and 85,214.80 is: 127,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,043.30 : 364,564.95 = 85,214.80 : x
  2. Step 2: Convert to fraction form
    243,043.30/364,564.95 = 85,214.80/x
  3. Step 3: Cross multiply
    243,043.30x = 364,564.95 × 85,214.80
  4. Step 4: Simplify right side
    243,043.30x = 31,066,329,301.26
  5. Step 5: Solve for x
    x = 31,066,329,301.26/243,043.30
  6. Step 6: Final answer
    x = 127,822.20

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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.