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Finding the Fourth Proportional to 243,042.80, 364,564.20 and 85,214.30

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Solution

The fourth proportional to 243,042.80, 364,564.20 and 85,214.30 is: 127,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,042.80 : 364,564.20 = 85,214.30 : x
  2. Step 2: Convert to fraction form
    243,042.80/364,564.20 = 85,214.30/x
  3. Step 3: Cross multiply
    243,042.80x = 364,564.20 × 85,214.30
  4. Step 4: Simplify right side
    243,042.80x = 31,066,083,108.06
  5. Step 5: Solve for x
    x = 31,066,083,108.06/243,042.80
  6. Step 6: Final answer
    x = 127,821.45

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1.5x scale

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.