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Finding the Fourth Proportional to 98,245.53, 147,228.81 and 75,670.83

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Solution

The fourth proportional to 98,245.53, 147,228.81 and 75,670.83 is: 113,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,245.53 : 147,228.81 = 75,670.83 : x
  2. Step 2: Convert to fraction form
    98,245.53/147,228.81 = 75,670.83/x
  3. Step 3: Cross multiply
    98,245.53x = 147,228.81 × 75,670.83
  4. Step 4: Simplify right side
    98,245.53x = 11,140,926,252.61
  5. Step 5: Solve for x
    x = 11,140,926,252.61/98,245.53
  6. Step 6: Final answer
    x = 113,398.81

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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.