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Finding the Fourth Proportional to 152,642.16, 210,644.82 and 85,574.16

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Solution

The fourth proportional to 152,642.16, 210,644.82 and 85,574.16 is: 118,091.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,642.16 : 210,644.82 = 85,574.16 : x
  2. Step 2: Convert to fraction form
    152,642.16/210,644.82 = 85,574.16/x
  3. Step 3: Cross multiply
    152,642.16x = 210,644.82 × 85,574.16
  4. Step 4: Simplify right side
    152,642.16x = 18,025,753,529.85
  5. Step 5: Solve for x
    x = 18,025,753,529.85/152,642.16
  6. Step 6: Final answer
    x = 118,091.58

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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.