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Finding the Fourth Proportional to 251,258, 377,059.80 and 103,514

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Solution

The fourth proportional to 251,258, 377,059.80 and 103,514 is: 155,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,258 : 377,059.80 = 103,514 : x
  2. Step 2: Convert to fraction form
    251,258/377,059.80 = 103,514/x
  3. Step 3: Cross multiply
    251,258x = 377,059.80 × 103,514
  4. Step 4: Simplify right side
    251,258x = 39,030,968,137.20
  5. Step 5: Solve for x
    x = 39,030,968,137.20/251,258
  6. Step 6: Final answer
    x = 155,342.19

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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.