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Finding the Fourth Proportional to 85,899.81, 118,537.71 and 47,658.93

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Solution

The fourth proportional to 85,899.81, 118,537.71 and 47,658.93 is: 65,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,899.81 : 118,537.71 = 47,658.93 : x
  2. Step 2: Convert to fraction form
    85,899.81/118,537.71 = 47,658.93/x
  3. Step 3: Cross multiply
    85,899.81x = 118,537.71 × 47,658.93
  4. Step 4: Simplify right side
    85,899.81x = 5,649,380,423.25
  5. Step 5: Solve for x
    x = 5,649,380,423.25/85,899.81
  6. Step 6: Final answer
    x = 65,767.09

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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.