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Finding the Fourth Proportional to 255,051.70, 382,140.15 and 121,644.70

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Solution

The fourth proportional to 255,051.70, 382,140.15 and 121,644.70 is: 182,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,051.70 : 382,140.15 = 121,644.70 : x
  2. Step 2: Convert to fraction form
    255,051.70/382,140.15 = 121,644.70/x
  3. Step 3: Cross multiply
    255,051.70x = 382,140.15 × 121,644.70
  4. Step 4: Simplify right side
    255,051.70x = 46,485,323,904.71
  5. Step 5: Solve for x
    x = 46,485,323,904.71/255,051.70
  6. Step 6: Final answer
    x = 182,258.44

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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.