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Finding the Fourth Proportional to 98,949.48, 148,289.76 and 54,509.64

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Solution

The fourth proportional to 98,949.48, 148,289.76 and 54,509.64 is: 81,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,949.48 : 148,289.76 = 54,509.64 : x
  2. Step 2: Convert to fraction form
    98,949.48/148,289.76 = 54,509.64/x
  3. Step 3: Cross multiply
    98,949.48x = 148,289.76 × 54,509.64
  4. Step 4: Simplify right side
    98,949.48x = 8,083,221,433.29
  5. Step 5: Solve for x
    x = 8,083,221,433.29/98,949.48
  6. Step 6: Final answer
    x = 81,690.39

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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.