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Finding the Fourth Proportional to 98,409.80, 147,629.10 and 51,666.20

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Solution

The fourth proportional to 98,409.80, 147,629.10 and 51,666.20 is: 77,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,409.80 : 147,629.10 = 51,666.20 : x
  2. Step 2: Convert to fraction form
    98,409.80/147,629.10 = 51,666.20/x
  3. Step 3: Cross multiply
    98,409.80x = 147,629.10 × 51,666.20
  4. Step 4: Simplify right side
    98,409.80x = 7,627,434,606.42
  5. Step 5: Solve for x
    x = 7,627,434,606.42/98,409.80
  6. Step 6: Final answer
    x = 77,506.86

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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.