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Finding the Fourth Proportional to 86,034.85, 118,747.05 and 47,807.53

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Solution

The fourth proportional to 86,034.85, 118,747.05 and 47,807.53 is: 65,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,034.85 : 118,747.05 = 47,807.53 : x
  2. Step 2: Convert to fraction form
    86,034.85/118,747.05 = 47,807.53/x
  3. Step 3: Cross multiply
    86,034.85x = 118,747.05 × 47,807.53
  4. Step 4: Simplify right side
    86,034.85x = 5,677,003,155.29
  5. Step 5: Solve for x
    x = 5,677,003,155.29/86,034.85
  6. Step 6: Final answer
    x = 65,984.93

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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.