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Finding the Fourth Proportional to 210,253.47, 290,187.42 and 125,376

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Solution

The fourth proportional to 210,253.47, 290,187.42 and 125,376 is: 173,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,253.47 : 290,187.42 = 125,376 : x
  2. Step 2: Convert to fraction form
    210,253.47/290,187.42 = 125,376/x
  3. Step 3: Cross multiply
    210,253.47x = 290,187.42 × 125,376
  4. Step 4: Simplify right side
    210,253.47x = 36,382,537,969.92
  5. Step 5: Solve for x
    x = 36,382,537,969.92/210,253.47
  6. Step 6: Final answer
    x = 173,041.32

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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.