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Finding the Fourth Proportional to 147,582, 203,663.16 and 87,966

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Solution

The fourth proportional to 147,582, 203,663.16 and 87,966 is: 121,393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,582 : 203,663.16 = 87,966 : x
  2. Step 2: Convert to fraction form
    147,582/203,663.16 = 87,966/x
  3. Step 3: Cross multiply
    147,582x = 203,663.16 × 87,966
  4. Step 4: Simplify right side
    147,582x = 17,915,433,532.56
  5. Step 5: Solve for x
    x = 17,915,433,532.56/147,582
  6. Step 6: Final answer
    x = 121,393.08

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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.