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Finding the Fourth Proportional to 153,231, 229,924.26 and 70,145.88

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Solution

The fourth proportional to 153,231, 229,924.26 and 70,145.88 is: 105,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,231 : 229,924.26 = 70,145.88 : x
  2. Step 2: Convert to fraction form
    153,231/229,924.26 = 70,145.88/x
  3. Step 3: Cross multiply
    153,231x = 229,924.26 × 70,145.88
  4. Step 4: Simplify right side
    153,231x = 16,128,239,551.05
  5. Step 5: Solve for x
    x = 16,128,239,551.05/153,231
  6. Step 6: Final answer
    x = 105,254.42

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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.