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Finding the Fourth Proportional to 257,828, 386,892.54 and 108,055.88

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Solution

The fourth proportional to 257,828, 386,892.54 and 108,055.88 is: 162,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,828 : 386,892.54 = 108,055.88 : x
  2. Step 2: Convert to fraction form
    257,828/386,892.54 = 108,055.88/x
  3. Step 3: Cross multiply
    257,828x = 386,892.54 × 108,055.88
  4. Step 4: Simplify right side
    257,828x = 41,806,013,875.14
  5. Step 5: Solve for x
    x = 41,806,013,875.14/257,828
  6. Step 6: Final answer
    x = 162,146.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.