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Finding the Fourth Proportional to 98,602.20, 147,903.30 and 78,919.20

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Solution

The fourth proportional to 98,602.20, 147,903.30 and 78,919.20 is: 118,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,602.20 : 147,903.30 = 78,919.20 : x
  2. Step 2: Convert to fraction form
    98,602.20/147,903.30 = 78,919.20/x
  3. Step 3: Cross multiply
    98,602.20x = 147,903.30 × 78,919.20
  4. Step 4: Simplify right side
    98,602.20x = 11,672,410,113.36
  5. Step 5: Solve for x
    x = 11,672,410,113.36/98,602.20
  6. Step 6: Final answer
    x = 118,378.80

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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.