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Finding the Fourth Proportional to 153,000.20, 229,276.20 and 137,205.20

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Solution

The fourth proportional to 153,000.20, 229,276.20 and 137,205.20 is: 205,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,000.20 : 229,276.20 = 137,205.20 : x
  2. Step 2: Convert to fraction form
    153,000.20/229,276.20 = 137,205.20/x
  3. Step 3: Cross multiply
    153,000.20x = 229,276.20 × 137,205.20
  4. Step 4: Simplify right side
    153,000.20x = 31,457,886,876.24
  5. Step 5: Solve for x
    x = 31,457,886,876.24/153,000.20
  6. Step 6: Final answer
    x = 205,606.83

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1.5x scale

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.