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Finding the Fourth Proportional to 50,802.10, 70,106.11 and 27,831.74

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Solution

The fourth proportional to 50,802.10, 70,106.11 and 27,831.74 is: 38,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,802.10 : 70,106.11 = 27,831.74 : x
  2. Step 2: Convert to fraction form
    50,802.10/70,106.11 = 27,831.74/x
  3. Step 3: Cross multiply
    50,802.10x = 70,106.11 × 27,831.74
  4. Step 4: Simplify right side
    50,802.10x = 1,951,174,605.82
  5. Step 5: Solve for x
    x = 1,951,174,605.82/50,802.10
  6. Step 6: Final answer
    x = 38,407.36

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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.