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Finding the Fourth Proportional to 157,807.44, 217,766.07 and 86,173.47

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Solution

The fourth proportional to 157,807.44, 217,766.07 and 86,173.47 is: 118,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,807.44 : 217,766.07 = 86,173.47 : x
  2. Step 2: Convert to fraction form
    157,807.44/217,766.07 = 86,173.47/x
  3. Step 3: Cross multiply
    157,807.44x = 217,766.07 × 86,173.47
  4. Step 4: Simplify right side
    157,807.44x = 18,765,657,900.16
  5. Step 5: Solve for x
    x = 18,765,657,900.16/157,807.44
  6. Step 6: Final answer
    x = 118,914.91

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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.