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Finding the Fourth Proportional to 230,137.50, 317,426.13 and 153,618

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Solution

The fourth proportional to 230,137.50, 317,426.13 and 153,618 is: 211,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,137.50 : 317,426.13 = 153,618 : x
  2. Step 2: Convert to fraction form
    230,137.50/317,426.13 = 153,618/x
  3. Step 3: Cross multiply
    230,137.50x = 317,426.13 × 153,618
  4. Step 4: Simplify right side
    230,137.50x = 48,762,367,238.34
  5. Step 5: Solve for x
    x = 48,762,367,238.34/230,137.50
  6. Step 6: Final answer
    x = 211,883.62

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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.