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Finding the Fourth Proportional to 103,908, 143,393 and 56,161.32

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Solution

The fourth proportional to 103,908, 143,393 and 56,161.32 is: 77,502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,908 : 143,393 = 56,161.32 : x
  2. Step 2: Convert to fraction form
    103,908/143,393 = 56,161.32/x
  3. Step 3: Cross multiply
    103,908x = 143,393 × 56,161.32
  4. Step 4: Simplify right side
    103,908x = 8,053,140,158.76
  5. Step 5: Solve for x
    x = 8,053,140,158.76/103,908
  6. Step 6: Final answer
    x = 77,502.60

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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.