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Finding the Fourth Proportional to 342,636.86, 513,989.70 and 117,967.56

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Solution

The fourth proportional to 342,636.86, 513,989.70 and 117,967.56 is: 176,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,636.86 : 513,989.70 = 117,967.56 : x
  2. Step 2: Convert to fraction form
    342,636.86/513,989.70 = 117,967.56/x
  3. Step 3: Cross multiply
    342,636.86x = 513,989.70 × 117,967.56
  4. Step 4: Simplify right side
    342,636.86x = 60,634,110,774.13
  5. Step 5: Solve for x
    x = 60,634,110,774.13/342,636.86
  6. Step 6: Final answer
    x = 176,963.19

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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.