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Finding the Fourth Proportional to 170,963.85, 256,365.25 and 99,907.01

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Solution

The fourth proportional to 170,963.85, 256,365.25 and 99,907.01 is: 149,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,963.85 : 256,365.25 = 99,907.01 : x
  2. Step 2: Convert to fraction form
    170,963.85/256,365.25 = 99,907.01/x
  3. Step 3: Cross multiply
    170,963.85x = 256,365.25 × 99,907.01
  4. Step 4: Simplify right side
    170,963.85x = 25,612,685,595.40
  5. Step 5: Solve for x
    x = 25,612,685,595.40/170,963.85
  6. Step 6: Final answer
    x = 149,813.46

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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.