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Finding the Fourth Proportional to 105,049.74, 157,343.10 and 86,831.10

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Solution

The fourth proportional to 105,049.74, 157,343.10 and 86,831.10 is: 130,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,049.74 : 157,343.10 = 86,831.10 : x
  2. Step 2: Convert to fraction form
    105,049.74/157,343.10 = 86,831.10/x
  3. Step 3: Cross multiply
    105,049.74x = 157,343.10 × 86,831.10
  4. Step 4: Simplify right side
    105,049.74x = 13,662,274,450.41
  5. Step 5: Solve for x
    x = 13,662,274,450.41/105,049.74
  6. Step 6: Final answer
    x = 130,055.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.