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Finding the Fourth Proportional to 98,384.40, 147,357.90 and 76,125.60

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Solution

The fourth proportional to 98,384.40, 147,357.90 and 76,125.60 is: 114,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,384.40 : 147,357.90 = 76,125.60 : x
  2. Step 2: Convert to fraction form
    98,384.40/147,357.90 = 76,125.60/x
  3. Step 3: Cross multiply
    98,384.40x = 147,357.90 × 76,125.60
  4. Step 4: Simplify right side
    98,384.40x = 11,217,708,552.24
  5. Step 5: Solve for x
    x = 11,217,708,552.24/98,384.40
  6. Step 6: Final answer
    x = 114,019.18

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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.