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Finding the Fourth Proportional to 98,891.20, 148,271.28 and 54,539.20

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Solution

The fourth proportional to 98,891.20, 148,271.28 and 54,539.20 is: 81,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,891.20 : 148,271.28 = 54,539.20 : x
  2. Step 2: Convert to fraction form
    98,891.20/148,271.28 = 54,539.20/x
  3. Step 3: Cross multiply
    98,891.20x = 148,271.28 × 54,539.20
  4. Step 4: Simplify right side
    98,891.20x = 8,086,596,994.18
  5. Step 5: Solve for x
    x = 8,086,596,994.18/98,891.20
  6. Step 6: Final answer
    x = 81,772.67

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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.