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Finding the Fourth Proportional to 85,916.86, 118,562.17 and 47,678.08

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Solution

The fourth proportional to 85,916.86, 118,562.17 and 47,678.08 is: 65,794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,916.86 : 118,562.17 = 47,678.08 : x
  2. Step 2: Convert to fraction form
    85,916.86/118,562.17 = 47,678.08/x
  3. Step 3: Cross multiply
    85,916.86x = 118,562.17 × 47,678.08
  4. Step 4: Simplify right side
    85,916.86x = 5,652,816,622.01
  5. Step 5: Solve for x
    x = 5,652,816,622.01/85,916.86
  6. Step 6: Final answer
    x = 65,794.03

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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.