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Finding the Fourth Proportional to 98,509.80, 147,764.70 and 56,908.20

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Solution

The fourth proportional to 98,509.80, 147,764.70 and 56,908.20 is: 85,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,509.80 : 147,764.70 = 56,908.20 : x
  2. Step 2: Convert to fraction form
    98,509.80/147,764.70 = 56,908.20/x
  3. Step 3: Cross multiply
    98,509.80x = 147,764.70 × 56,908.20
  4. Step 4: Simplify right side
    98,509.80x = 8,409,023,100.54
  5. Step 5: Solve for x
    x = 8,409,023,100.54/98,509.80
  6. Step 6: Final answer
    x = 85,362.30

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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.