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Finding the Fourth Proportional to 257,094.78, 385,891.54 and 124,068.68

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Solution

The fourth proportional to 257,094.78, 385,891.54 and 124,068.68 is: 186,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,094.78 : 385,891.54 = 124,068.68 : x
  2. Step 2: Convert to fraction form
    257,094.78/385,891.54 = 124,068.68/x
  3. Step 3: Cross multiply
    257,094.78x = 385,891.54 × 124,068.68
  4. Step 4: Simplify right side
    257,094.78x = 47,877,053,990.97
  5. Step 5: Solve for x
    x = 47,877,053,990.97/257,094.78
  6. Step 6: Final answer
    x = 186,223.36

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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.