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Finding the Fourth Proportional to 98,005.20, 147,007.80 and 89,710.80

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Solution

The fourth proportional to 98,005.20, 147,007.80 and 89,710.80 is: 134,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,005.20 : 147,007.80 = 89,710.80 : x
  2. Step 2: Convert to fraction form
    98,005.20/147,007.80 = 89,710.80/x
  3. Step 3: Cross multiply
    98,005.20x = 147,007.80 × 89,710.80
  4. Step 4: Simplify right side
    98,005.20x = 13,188,187,344.24
  5. Step 5: Solve for x
    x = 13,188,187,344.24/98,005.20
  6. Step 6: Final answer
    x = 134,566.20

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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.