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Finding the Fourth Proportional to 99,353.64, 137,100.80 and 56,334

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Solution

The fourth proportional to 99,353.64, 137,100.80 and 56,334 is: 77,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,353.64 : 137,100.80 = 56,334 : x
  2. Step 2: Convert to fraction form
    99,353.64/137,100.80 = 56,334/x
  3. Step 3: Cross multiply
    99,353.64x = 137,100.80 × 56,334
  4. Step 4: Simplify right side
    99,353.64x = 7,723,436,467.20
  5. Step 5: Solve for x
    x = 7,723,436,467.20/99,353.64
  6. Step 6: Final answer
    x = 77,736.82

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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.