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Finding the Fourth Proportional to 153,057.34, 229,609.68 and 78,136.84

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Solution

The fourth proportional to 153,057.34, 229,609.68 and 78,136.84 is: 117,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,057.34 : 229,609.68 = 78,136.84 : x
  2. Step 2: Convert to fraction form
    153,057.34/229,609.68 = 78,136.84/x
  3. Step 3: Cross multiply
    153,057.34x = 229,609.68 × 78,136.84
  4. Step 4: Simplify right side
    153,057.34x = 17,940,974,828.61
  5. Step 5: Solve for x
    x = 17,940,974,828.61/153,057.34
  6. Step 6: Final answer
    x = 117,217.34

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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.