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Finding the Fourth Proportional to 105,659.66, 145,825.28 and 65,386.41

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Solution

The fourth proportional to 105,659.66, 145,825.28 and 65,386.41 is: 90,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,659.66 : 145,825.28 = 65,386.41 : x
  2. Step 2: Convert to fraction form
    105,659.66/145,825.28 = 65,386.41/x
  3. Step 3: Cross multiply
    105,659.66x = 145,825.28 × 65,386.41
  4. Step 4: Simplify right side
    105,659.66x = 9,534,990,917.87
  5. Step 5: Solve for x
    x = 9,534,990,917.87/105,659.66
  6. Step 6: Final answer
    x = 90,242.49

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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.