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Finding the Fourth Proportional to 172,312.88, 237,718.68 and 105,206

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Solution

The fourth proportional to 172,312.88, 237,718.68 and 105,206 is: 145,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,312.88 : 237,718.68 = 105,206 : x
  2. Step 2: Convert to fraction form
    172,312.88/237,718.68 = 105,206/x
  3. Step 3: Cross multiply
    172,312.88x = 237,718.68 × 105,206
  4. Step 4: Simplify right side
    172,312.88x = 25,009,431,448.08
  5. Step 5: Solve for x
    x = 25,009,431,448.08/172,312.88
  6. Step 6: Final answer
    x = 145,139.65

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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.