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Finding the Fourth Proportional to 243,095.24, 364,805.93 and 85,324.16

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Solution

The fourth proportional to 243,095.24, 364,805.93 and 85,324.16 is: 128,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,095.24 : 364,805.93 = 85,324.16 : x
  2. Step 2: Convert to fraction form
    243,095.24/364,805.93 = 85,324.16/x
  3. Step 3: Cross multiply
    243,095.24x = 364,805.93 × 85,324.16
  4. Step 4: Simplify right side
    243,095.24x = 31,126,757,929.55
  5. Step 5: Solve for x
    x = 31,126,757,929.55/243,095.24
  6. Step 6: Final answer
    x = 128,043.47

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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.