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Finding the Fourth Proportional to 85,678.80, 118,237.08 and 47,953

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Solution

The fourth proportional to 85,678.80, 118,237.08 and 47,953 is: 66,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,678.80 : 118,237.08 = 47,953 : x
  2. Step 2: Convert to fraction form
    85,678.80/118,237.08 = 47,953/x
  3. Step 3: Cross multiply
    85,678.80x = 118,237.08 × 47,953
  4. Step 4: Simplify right side
    85,678.80x = 5,669,822,697.24
  5. Step 5: Solve for x
    x = 5,669,822,697.24/85,678.80
  6. Step 6: Final answer
    x = 66,175.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.