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Finding the Fourth Proportional to 115,885.16, 159,908.30 and 64,890.80

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Solution

The fourth proportional to 115,885.16, 159,908.30 and 64,890.80 is: 89,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,885.16 : 159,908.30 = 64,890.80 : x
  2. Step 2: Convert to fraction form
    115,885.16/159,908.30 = 64,890.80/x
  3. Step 3: Cross multiply
    115,885.16x = 159,908.30 × 64,890.80
  4. Step 4: Simplify right side
    115,885.16x = 10,376,576,389.64
  5. Step 5: Solve for x
    x = 10,376,576,389.64/115,885.16
  6. Step 6: Final answer
    x = 89,541.90

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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.