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Finding the Fourth Proportional to 115,299.83, 159,106.90 and 66,898.01

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Solution

The fourth proportional to 115,299.83, 159,106.90 and 66,898.01 is: 92,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,299.83 : 159,106.90 = 66,898.01 : x
  2. Step 2: Convert to fraction form
    115,299.83/159,106.90 = 66,898.01/x
  3. Step 3: Cross multiply
    115,299.83x = 159,106.90 × 66,898.01
  4. Step 4: Simplify right side
    115,299.83x = 10,643,934,987.27
  5. Step 5: Solve for x
    x = 10,643,934,987.27/115,299.83
  6. Step 6: Final answer
    x = 92,315.27

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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.