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Finding the Fourth Proportional to 243,287.23, 364,903.15 and 65,780.40

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Solution

The fourth proportional to 243,287.23, 364,903.15 and 65,780.40 is: 98,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,287.23 : 364,903.15 = 65,780.40 : x
  2. Step 2: Convert to fraction form
    243,287.23/364,903.15 = 65,780.40/x
  3. Step 3: Cross multiply
    243,287.23x = 364,903.15 × 65,780.40
  4. Step 4: Simplify right side
    243,287.23x = 24,003,476,680.54
  5. Step 5: Solve for x
    x = 24,003,476,680.54/243,287.23
  6. Step 6: Final answer
    x = 98,663.12

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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.