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Finding the Fourth Proportional to 146,080.32, 201,647.52 and 85,704

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Solution

The fourth proportional to 146,080.32, 201,647.52 and 85,704 is: 118,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,080.32 : 201,647.52 = 85,704 : x
  2. Step 2: Convert to fraction form
    146,080.32/201,647.52 = 85,704/x
  3. Step 3: Cross multiply
    146,080.32x = 201,647.52 × 85,704
  4. Step 4: Simplify right side
    146,080.32x = 17,281,999,054.08
  5. Step 5: Solve for x
    x = 17,281,999,054.08/146,080.32
  6. Step 6: Final answer
    x = 118,304.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.