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Finding the Fourth Proportional to 114,321.84, 157,416.48 and 101,389.20

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Solution

The fourth proportional to 114,321.84, 157,416.48 and 101,389.20 is: 139,608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,321.84 : 157,416.48 = 101,389.20 : x
  2. Step 2: Convert to fraction form
    114,321.84/157,416.48 = 101,389.20/x
  3. Step 3: Cross multiply
    114,321.84x = 157,416.48 × 101,389.20
  4. Step 4: Simplify right side
    114,321.84x = 15,960,330,974.02
  5. Step 5: Solve for x
    x = 15,960,330,974.02/114,321.84
  6. Step 6: Final answer
    x = 139,608.77

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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.