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Finding the Fourth Proportional to 208,094.10, 312,083.55 and 83,447.70

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Solution

The fourth proportional to 208,094.10, 312,083.55 and 83,447.70 is: 125,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,094.10 : 312,083.55 = 83,447.70 : x
  2. Step 2: Convert to fraction form
    208,094.10/312,083.55 = 83,447.70/x
  3. Step 3: Cross multiply
    208,094.10x = 312,083.55 × 83,447.70
  4. Step 4: Simplify right side
    208,094.10x = 26,042,654,455.34
  5. Step 5: Solve for x
    x = 26,042,654,455.34/208,094.10
  6. Step 6: Final answer
    x = 125,148.45

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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.