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Finding the Fourth Proportional to 115,970.40, 159,971.76 and 65,659.68

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Solution

The fourth proportional to 115,970.40, 159,971.76 and 65,659.68 is: 90,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,970.40 : 159,971.76 = 65,659.68 : x
  2. Step 2: Convert to fraction form
    115,970.40/159,971.76 = 65,659.68/x
  3. Step 3: Cross multiply
    115,970.40x = 159,971.76 × 65,659.68
  4. Step 4: Simplify right side
    115,970.40x = 10,503,694,570.64
  5. Step 5: Solve for x
    x = 10,503,694,570.64/115,970.40
  6. Step 6: Final answer
    x = 90,572.20

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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.