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Finding the Fourth Proportional to 178,160.80, 245,882.64 and 102,712

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Solution

The fourth proportional to 178,160.80, 245,882.64 and 102,712 is: 141,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,160.80 : 245,882.64 = 102,712 : x
  2. Step 2: Convert to fraction form
    178,160.80/245,882.64 = 102,712/x
  3. Step 3: Cross multiply
    178,160.80x = 245,882.64 × 102,712
  4. Step 4: Simplify right side
    178,160.80x = 25,255,097,719.68
  5. Step 5: Solve for x
    x = 25,255,097,719.68/178,160.80
  6. Step 6: Final answer
    x = 141,754.51

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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.