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Finding the Fourth Proportional to 146,378.66, 201,991.29 and 89,010.11

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Solution

The fourth proportional to 146,378.66, 201,991.29 and 89,010.11 is: 122,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,378.66 : 201,991.29 = 89,010.11 : x
  2. Step 2: Convert to fraction form
    146,378.66/201,991.29 = 89,010.11/x
  3. Step 3: Cross multiply
    146,378.66x = 201,991.29 × 89,010.11
  4. Step 4: Simplify right side
    146,378.66x = 17,979,265,931.99
  5. Step 5: Solve for x
    x = 17,979,265,931.99/146,378.66
  6. Step 6: Final answer
    x = 122,827.10

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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.