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Finding the Fourth Proportional to 143,337.32, 197,807.86 and 78,809.28

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Solution

The fourth proportional to 143,337.32, 197,807.86 and 78,809.28 is: 108,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,337.32 : 197,807.86 = 78,809.28 : x
  2. Step 2: Convert to fraction form
    143,337.32/197,807.86 = 78,809.28/x
  3. Step 3: Cross multiply
    143,337.32x = 197,807.86 × 78,809.28
  4. Step 4: Simplify right side
    143,337.32x = 15,589,095,024.94
  5. Step 5: Solve for x
    x = 15,589,095,024.94/143,337.32
  6. Step 6: Final answer
    x = 108,758.10

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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.