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Finding the Fourth Proportional to 254,168.98, 380,987.43 and 85,631.06

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Solution

The fourth proportional to 254,168.98, 380,987.43 and 85,631.06 is: 128,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,168.98 : 380,987.43 = 85,631.06 : x
  2. Step 2: Convert to fraction form
    254,168.98/380,987.43 = 85,631.06/x
  3. Step 3: Cross multiply
    254,168.98x = 380,987.43 × 85,631.06
  4. Step 4: Simplify right side
    254,168.98x = 32,624,357,477.58
  5. Step 5: Solve for x
    x = 32,624,357,477.58/254,168.98
  6. Step 6: Final answer
    x = 128,356.96

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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.