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Finding the Fourth Proportional to 254,176.98, 380,999.42 and 85,639.08

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Solution

The fourth proportional to 254,176.98, 380,999.42 and 85,639.08 is: 128,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,176.98 : 380,999.42 = 85,639.08 : x
  2. Step 2: Convert to fraction form
    254,176.98/380,999.42 = 85,639.08/x
  3. Step 3: Cross multiply
    254,176.98x = 380,999.42 × 85,639.08
  4. Step 4: Simplify right side
    254,176.98x = 32,628,439,809.33
  5. Step 5: Solve for x
    x = 32,628,439,809.33/254,176.98
  6. Step 6: Final answer
    x = 128,368.98

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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.