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Finding the Fourth Proportional to 103,489.68, 142,831.23 and 63,226.71

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Solution

The fourth proportional to 103,489.68, 142,831.23 and 63,226.71 is: 87,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,489.68 : 142,831.23 = 63,226.71 : x
  2. Step 2: Convert to fraction form
    103,489.68/142,831.23 = 63,226.71/x
  3. Step 3: Cross multiply
    103,489.68x = 142,831.23 × 63,226.71
  4. Step 4: Simplify right side
    103,489.68x = 9,030,748,758.15
  5. Step 5: Solve for x
    x = 9,030,748,758.15/103,489.68
  6. Step 6: Final answer
    x = 87,262.31

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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.