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Finding the Fourth Proportional to 115,705.70, 159,671.75 and 65,404.70

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Solution

The fourth proportional to 115,705.70, 159,671.75 and 65,404.70 is: 90,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,705.70 : 159,671.75 = 65,404.70 : x
  2. Step 2: Convert to fraction form
    115,705.70/159,671.75 = 65,404.70/x
  3. Step 3: Cross multiply
    115,705.70x = 159,671.75 × 65,404.70
  4. Step 4: Simplify right side
    115,705.70x = 10,443,281,781.84
  5. Step 5: Solve for x
    x = 10,443,281,781.84/115,705.70
  6. Step 6: Final answer
    x = 90,257.28

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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.