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Finding the Fourth Proportional to 262,007.86, 392,731.45 and 135,520.74

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Solution

The fourth proportional to 262,007.86, 392,731.45 and 135,520.74 is: 203,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,007.86 : 392,731.45 = 135,520.74 : x
  2. Step 2: Convert to fraction form
    262,007.86/392,731.45 = 135,520.74/x
  3. Step 3: Cross multiply
    262,007.86x = 392,731.45 × 135,520.74
  4. Step 4: Simplify right side
    262,007.86x = 53,223,256,386.47
  5. Step 5: Solve for x
    x = 53,223,256,386.47/262,007.86
  6. Step 6: Final answer
    x = 203,136.11

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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.