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Finding the Fourth Proportional to 151,765.58, 209,438.21 and 83,782.59

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Solution

The fourth proportional to 151,765.58, 209,438.21 and 83,782.59 is: 115,620.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,765.58 : 209,438.21 = 83,782.59 : x
  2. Step 2: Convert to fraction form
    151,765.58/209,438.21 = 83,782.59/x
  3. Step 3: Cross multiply
    151,765.58x = 209,438.21 × 83,782.59
  4. Step 4: Simplify right side
    151,765.58x = 17,547,275,259.85
  5. Step 5: Solve for x
    x = 17,547,275,259.85/151,765.58
  6. Step 6: Final answer
    x = 115,620.92

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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.