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Finding the Fourth Proportional to 172,137.65, 237,578.14 and 143,411.76

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Solution

The fourth proportional to 172,137.65, 237,578.14 and 143,411.76 is: 197,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,137.65 : 237,578.14 = 143,411.76 : x
  2. Step 2: Convert to fraction form
    172,137.65/237,578.14 = 143,411.76/x
  3. Step 3: Cross multiply
    172,137.65x = 237,578.14 × 143,411.76
  4. Step 4: Simplify right side
    172,137.65x = 34,071,498,302.66
  5. Step 5: Solve for x
    x = 34,071,498,302.66/172,137.65
  6. Step 6: Final answer
    x = 197,931.71

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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.