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Finding the Fourth Proportional to 98,311.81, 147,459.48 and 50,875.78

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Solution

The fourth proportional to 98,311.81, 147,459.48 and 50,875.78 is: 76,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,311.81 : 147,459.48 = 50,875.78 : x
  2. Step 2: Convert to fraction form
    98,311.81/147,459.48 = 50,875.78/x
  3. Step 3: Cross multiply
    98,311.81x = 147,459.48 × 50,875.78
  4. Step 4: Simplify right side
    98,311.81x = 7,502,116,063.39
  5. Step 5: Solve for x
    x = 7,502,116,063.39/98,311.81
  6. Step 6: Final answer
    x = 76,309.41

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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.