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Finding the Fourth Proportional to 115,786, 159,784.68 and 65,483.92

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Solution

The fourth proportional to 115,786, 159,784.68 and 65,483.92 is: 90,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,786 : 159,784.68 = 65,483.92 : x
  2. Step 2: Convert to fraction form
    115,786/159,784.68 = 65,483.92/x
  3. Step 3: Cross multiply
    115,786x = 159,784.68 × 65,483.92
  4. Step 4: Simplify right side
    115,786x = 10,463,327,202.35
  5. Step 5: Solve for x
    x = 10,463,327,202.35/115,786
  6. Step 6: Final answer
    x = 90,367.81

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1.5x scale

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.