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Finding the Fourth Proportional to 86,642.86, 130,012.89 and 47,202.75

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Solution

The fourth proportional to 86,642.86, 130,012.89 and 47,202.75 is: 70,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,642.86 : 130,012.89 = 47,202.75 : x
  2. Step 2: Convert to fraction form
    86,642.86/130,012.89 = 47,202.75/x
  3. Step 3: Cross multiply
    86,642.86x = 130,012.89 × 47,202.75
  4. Step 4: Simplify right side
    86,642.86x = 6,136,965,293.38
  5. Step 5: Solve for x
    x = 6,136,965,293.38/86,642.86
  6. Step 6: Final answer
    x = 70,830.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.