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Finding the Fourth Proportional to 164,012.80, 245,864.40 and 89,022.40

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Solution

The fourth proportional to 164,012.80, 245,864.40 and 89,022.40 is: 133,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,012.80 : 245,864.40 = 89,022.40 : x
  2. Step 2: Convert to fraction form
    164,012.80/245,864.40 = 89,022.40/x
  3. Step 3: Cross multiply
    164,012.80x = 245,864.40 × 89,022.40
  4. Step 4: Simplify right side
    164,012.80x = 21,887,438,962.56
  5. Step 5: Solve for x
    x = 21,887,438,962.56/164,012.80
  6. Step 6: Final answer
    x = 133,449.58

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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.