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Finding the Fourth Proportional to 281,152.96, 387,996.68 and 153,831.29

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Solution

The fourth proportional to 281,152.96, 387,996.68 and 153,831.29 is: 212,290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,152.96 : 387,996.68 = 153,831.29 : x
  2. Step 2: Convert to fraction form
    281,152.96/387,996.68 = 153,831.29/x
  3. Step 3: Cross multiply
    281,152.96x = 387,996.68 × 153,831.29
  4. Step 4: Simplify right side
    281,152.96x = 59,686,028,244.71
  5. Step 5: Solve for x
    x = 59,686,028,244.71/281,152.96
  6. Step 6: Final answer
    x = 212,290.24

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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.