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Finding the Fourth Proportional to 181,875, 251,022.36 and 102,387

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Solution

The fourth proportional to 181,875, 251,022.36 and 102,387 is: 141,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,875 : 251,022.36 = 102,387 : x
  2. Step 2: Convert to fraction form
    181,875/251,022.36 = 102,387/x
  3. Step 3: Cross multiply
    181,875x = 251,022.36 × 102,387
  4. Step 4: Simplify right side
    181,875x = 25,701,426,373.32
  5. Step 5: Solve for x
    x = 25,701,426,373.32/181,875
  6. Step 6: Final answer
    x = 141,313.68

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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.