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Finding the Fourth Proportional to 257,907.10, 386,860.65 and 70,918.60

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Solution

The fourth proportional to 257,907.10, 386,860.65 and 70,918.60 is: 106,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,907.10 : 386,860.65 = 70,918.60 : x
  2. Step 2: Convert to fraction form
    257,907.10/386,860.65 = 70,918.60/x
  3. Step 3: Cross multiply
    257,907.10x = 386,860.65 × 70,918.60
  4. Step 4: Simplify right side
    257,907.10x = 27,435,615,693.09
  5. Step 5: Solve for x
    x = 27,435,615,693.09/257,907.10
  6. Step 6: Final answer
    x = 106,377.90

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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.