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Finding the Fourth Proportional to 243,043.80, 364,565.70 and 85,215.30

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Solution

The fourth proportional to 243,043.80, 364,565.70 and 85,215.30 is: 127,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,043.80 : 364,565.70 = 85,215.30 : x
  2. Step 2: Convert to fraction form
    243,043.80/364,565.70 = 85,215.30/x
  3. Step 3: Cross multiply
    243,043.80x = 364,565.70 × 85,215.30
  4. Step 4: Simplify right side
    243,043.80x = 31,066,575,495.21
  5. Step 5: Solve for x
    x = 31,066,575,495.21/243,043.80
  6. Step 6: Final answer
    x = 127,822.95

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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.