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Finding the Fourth Proportional to 105,664.26, 145,831.63 and 65,391

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Solution

The fourth proportional to 105,664.26, 145,831.63 and 65,391 is: 90,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,664.26 : 145,831.63 = 65,391 : x
  2. Step 2: Convert to fraction form
    105,664.26/145,831.63 = 65,391/x
  3. Step 3: Cross multiply
    105,664.26x = 145,831.63 × 65,391
  4. Step 4: Simplify right side
    105,664.26x = 9,536,076,117.33
  5. Step 5: Solve for x
    x = 9,536,076,117.33/105,664.26
  6. Step 6: Final answer
    x = 90,248.83

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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.