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Finding the Fourth Proportional to 153,210.34, 229,821.69 and 53,380.64

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Solution

The fourth proportional to 153,210.34, 229,821.69 and 53,380.64 is: 80,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,210.34 : 229,821.69 = 53,380.64 : x
  2. Step 2: Convert to fraction form
    153,210.34/229,821.69 = 53,380.64/x
  3. Step 3: Cross multiply
    153,210.34x = 229,821.69 × 53,380.64
  4. Step 4: Simplify right side
    153,210.34x = 12,268,028,898.08
  5. Step 5: Solve for x
    x = 12,268,028,898.08/153,210.34
  6. Step 6: Final answer
    x = 80,073.11

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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.