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Finding the Fourth Proportional to 157,657, 217,571.25 and 86,041.60

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Solution

The fourth proportional to 157,657, 217,571.25 and 86,041.60 is: 118,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,657 : 217,571.25 = 86,041.60 : x
  2. Step 2: Convert to fraction form
    157,657/217,571.25 = 86,041.60/x
  3. Step 3: Cross multiply
    157,657x = 217,571.25 × 86,041.60
  4. Step 4: Simplify right side
    157,657x = 18,720,178,464
  5. Step 5: Solve for x
    x = 18,720,178,464/157,657
  6. Step 6: Final answer
    x = 118,739.91

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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.