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Finding the Fourth Proportional to 152,760, 210,810.24 and 85,693.44

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Solution

The fourth proportional to 152,760, 210,810.24 and 85,693.44 is: 118,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,760 : 210,810.24 = 85,693.44 : x
  2. Step 2: Convert to fraction form
    152,760/210,810.24 = 85,693.44/x
  3. Step 3: Cross multiply
    152,760x = 210,810.24 × 85,693.44
  4. Step 4: Simplify right side
    152,760x = 18,065,054,652.83
  5. Step 5: Solve for x
    x = 18,065,054,652.83/152,760
  6. Step 6: Final answer
    x = 118,257.75

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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.