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Finding the Fourth Proportional to 99,768, 149,651.80 and 58,185.84

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Solution

The fourth proportional to 99,768, 149,651.80 and 58,185.84 is: 87,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,768 : 149,651.80 = 58,185.84 : x
  2. Step 2: Convert to fraction form
    99,768/149,651.80 = 58,185.84/x
  3. Step 3: Cross multiply
    99,768x = 149,651.80 × 58,185.84
  4. Step 4: Simplify right side
    99,768x = 8,707,615,690.51
  5. Step 5: Solve for x
    x = 8,707,615,690.51/99,768
  6. Step 6: Final answer
    x = 87,278.64

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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.