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Finding the Fourth Proportional to 215,807.70, 323,804.86 and 115,851.18

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Solution

The fourth proportional to 215,807.70, 323,804.86 and 115,851.18 is: 173,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,807.70 : 323,804.86 = 115,851.18 : x
  2. Step 2: Convert to fraction form
    215,807.70/323,804.86 = 115,851.18/x
  3. Step 3: Cross multiply
    215,807.70x = 323,804.86 × 115,851.18
  4. Step 4: Simplify right side
    215,807.70x = 37,513,174,541.48
  5. Step 5: Solve for x
    x = 37,513,174,541.48/215,807.70
  6. Step 6: Final answer
    x = 173,826.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.