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Finding the Fourth Proportional to 243,293.32, 364,935.66 and 77,077

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Solution

The fourth proportional to 243,293.32, 364,935.66 and 77,077 is: 115,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,293.32 : 364,935.66 = 77,077 : x
  2. Step 2: Convert to fraction form
    243,293.32/364,935.66 = 77,077/x
  3. Step 3: Cross multiply
    243,293.32x = 364,935.66 × 77,077
  4. Step 4: Simplify right side
    243,293.32x = 28,128,145,865.82
  5. Step 5: Solve for x
    x = 28,128,145,865.82/243,293.32
  6. Step 6: Final answer
    x = 115,614.13

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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.