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Finding the Fourth Proportional to 160,212.96, 240,202.80 and 77,009.76

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Solution

The fourth proportional to 160,212.96, 240,202.80 and 77,009.76 is: 115,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,212.96 : 240,202.80 = 77,009.76 : x
  2. Step 2: Convert to fraction form
    160,212.96/240,202.80 = 77,009.76/x
  3. Step 3: Cross multiply
    160,212.96x = 240,202.80 × 77,009.76
  4. Step 4: Simplify right side
    160,212.96x = 18,497,959,979.33
  5. Step 5: Solve for x
    x = 18,497,959,979.33/160,212.96
  6. Step 6: Final answer
    x = 115,458.57

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1.5x scale

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.