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Finding the Fourth Proportional to 230,136.50, 317,424.75 and 153,617

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Solution

The fourth proportional to 230,136.50, 317,424.75 and 153,617 is: 211,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,136.50 : 317,424.75 = 153,617 : x
  2. Step 2: Convert to fraction form
    230,136.50/317,424.75 = 153,617/x
  3. Step 3: Cross multiply
    230,136.50x = 317,424.75 × 153,617
  4. Step 4: Simplify right side
    230,136.50x = 48,761,837,820.75
  5. Step 5: Solve for x
    x = 48,761,837,820.75/230,136.50
  6. Step 6: Final answer
    x = 211,882.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.