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Finding the Fourth Proportional to 99,578.60, 137,416.80 and 54,257.12

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Solution

The fourth proportional to 99,578.60, 137,416.80 and 54,257.12 is: 74,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,578.60 : 137,416.80 = 54,257.12 : x
  2. Step 2: Convert to fraction form
    99,578.60/137,416.80 = 54,257.12/x
  3. Step 3: Cross multiply
    99,578.60x = 137,416.80 × 54,257.12
  4. Step 4: Simplify right side
    99,578.60x = 7,455,839,807.62
  5. Step 5: Solve for x
    x = 7,455,839,807.62/99,578.60
  6. Step 6: Final answer
    x = 74,873.92

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1.5x scale

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.