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Finding the Fourth Proportional to 157,977.33, 218,008.74 and 86,357.64

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Solution

The fourth proportional to 157,977.33, 218,008.74 and 86,357.64 is: 119,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,977.33 : 218,008.74 = 86,357.64 : x
  2. Step 2: Convert to fraction form
    157,977.33/218,008.74 = 86,357.64/x
  3. Step 3: Cross multiply
    157,977.33x = 218,008.74 × 86,357.64
  4. Step 4: Simplify right side
    157,977.33x = 18,826,720,285.77
  5. Step 5: Solve for x
    x = 18,826,720,285.77/157,977.33
  6. Step 6: Final answer
    x = 119,173.56

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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.