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Finding the Fourth Proportional to 255,109.26, 382,415.76 and 121,954.98

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Solution

The fourth proportional to 255,109.26, 382,415.76 and 121,954.98 is: 182,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,109.26 : 382,415.76 = 121,954.98 : x
  2. Step 2: Convert to fraction form
    255,109.26/382,415.76 = 121,954.98/x
  3. Step 3: Cross multiply
    255,109.26x = 382,415.76 × 121,954.98
  4. Step 4: Simplify right side
    255,109.26x = 46,637,506,362.48
  5. Step 5: Solve for x
    x = 46,637,506,362.48/255,109.26
  6. Step 6: Final answer
    x = 182,813.85

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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.