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Finding the Fourth Proportional to 208,281, 312,516.70 and 113,369

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Solution

The fourth proportional to 208,281, 312,516.70 and 113,369 is: 170,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,281 : 312,516.70 = 113,369 : x
  2. Step 2: Convert to fraction form
    208,281/312,516.70 = 113,369/x
  3. Step 3: Cross multiply
    208,281x = 312,516.70 × 113,369
  4. Step 4: Simplify right side
    208,281x = 35,429,705,762.30
  5. Step 5: Solve for x
    x = 35,429,705,762.30/208,281
  6. Step 6: Final answer
    x = 170,105.32

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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.