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Finding the Fourth Proportional to 99,906.96, 137,895.12 and 57,490.32

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Solution

The fourth proportional to 99,906.96, 137,895.12 and 57,490.32 is: 79,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,906.96 : 137,895.12 = 57,490.32 : x
  2. Step 2: Convert to fraction form
    99,906.96/137,895.12 = 57,490.32/x
  3. Step 3: Cross multiply
    99,906.96x = 137,895.12 × 57,490.32
  4. Step 4: Simplify right side
    99,906.96x = 7,927,634,575.24
  5. Step 5: Solve for x
    x = 7,927,634,575.24/99,906.96
  6. Step 6: Final answer
    x = 79,350.17

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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.