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Finding the Fourth Proportional to 115,999.71, 160,079.54 and 65,698.71

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Solution

The fourth proportional to 115,999.71, 160,079.54 and 65,698.71 is: 90,664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,999.71 : 160,079.54 = 65,698.71 : x
  2. Step 2: Convert to fraction form
    115,999.71/160,079.54 = 65,698.71/x
  3. Step 3: Cross multiply
    115,999.71x = 160,079.54 × 65,698.71
  4. Step 4: Simplify right side
    115,999.71x = 10,517,018,946.90
  5. Step 5: Solve for x
    x = 10,517,018,946.90/115,999.71
  6. Step 6: Final answer
    x = 90,664.18

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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.