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Finding the Fourth Proportional to 86,991.84, 130,483.68 and 30,831.06

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Solution

The fourth proportional to 86,991.84, 130,483.68 and 30,831.06 is: 46,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,991.84 : 130,483.68 = 30,831.06 : x
  2. Step 2: Convert to fraction form
    86,991.84/130,483.68 = 30,831.06/x
  3. Step 3: Cross multiply
    86,991.84x = 130,483.68 × 30,831.06
  4. Step 4: Simplify right side
    86,991.84x = 4,022,950,167.10
  5. Step 5: Solve for x
    x = 4,022,950,167.10/86,991.84
  6. Step 6: Final answer
    x = 46,245.14

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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.