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Finding the Fourth Proportional to 69,838.32, 104,698.80 and 56,658

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Solution

The fourth proportional to 69,838.32, 104,698.80 and 56,658 is: 84,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,838.32 : 104,698.80 = 56,658 : x
  2. Step 2: Convert to fraction form
    69,838.32/104,698.80 = 56,658/x
  3. Step 3: Cross multiply
    69,838.32x = 104,698.80 × 56,658
  4. Step 4: Simplify right side
    69,838.32x = 5,932,024,610.40
  5. Step 5: Solve for x
    x = 5,932,024,610.40/69,838.32
  6. Step 6: Final answer
    x = 84,939.39

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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.