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Finding the Fourth Proportional to 85,678.52, 118,240.06 and 47,438.07

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Solution

The fourth proportional to 85,678.52, 118,240.06 and 47,438.07 is: 65,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,678.52 : 118,240.06 = 47,438.07 : x
  2. Step 2: Convert to fraction form
    85,678.52/118,240.06 = 47,438.07/x
  3. Step 3: Cross multiply
    85,678.52x = 118,240.06 × 47,438.07
  4. Step 4: Simplify right side
    85,678.52x = 5,609,080,124.49
  5. Step 5: Solve for x
    x = 5,609,080,124.49/85,678.52
  6. Step 6: Final answer
    x = 65,466.58

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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.