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Finding the Fourth Proportional to 115,857.69, 159,846.46 and 64,862.93

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Solution

The fourth proportional to 115,857.69, 159,846.46 and 64,862.93 is: 89,490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,857.69 : 159,846.46 = 64,862.93 : x
  2. Step 2: Convert to fraction form
    115,857.69/159,846.46 = 64,862.93/x
  3. Step 3: Cross multiply
    115,857.69x = 159,846.46 × 64,862.93
  4. Step 4: Simplify right side
    115,857.69x = 10,368,108,622.18
  5. Step 5: Solve for x
    x = 10,368,108,622.18/115,857.69
  6. Step 6: Final answer
    x = 89,490.03

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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.