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Finding the Fourth Proportional to 208,159.78, 312,240.47 and 50,387.98

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Solution

The fourth proportional to 208,159.78, 312,240.47 and 50,387.98 is: 75,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,159.78 : 312,240.47 = 50,387.98 : x
  2. Step 2: Convert to fraction form
    208,159.78/312,240.47 = 50,387.98/x
  3. Step 3: Cross multiply
    208,159.78x = 312,240.47 × 50,387.98
  4. Step 4: Simplify right side
    208,159.78x = 15,733,166,557.55
  5. Step 5: Solve for x
    x = 15,733,166,557.55/208,159.78
  6. Step 6: Final answer
    x = 75,582.16

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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.