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Finding the Fourth Proportional to 152,773.75, 210,827.78 and 85,705.75

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Solution

The fourth proportional to 152,773.75, 210,827.78 and 85,705.75 is: 118,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,773.75 : 210,827.78 = 85,705.75 : x
  2. Step 2: Convert to fraction form
    152,773.75/210,827.78 = 85,705.75/x
  3. Step 3: Cross multiply
    152,773.75x = 210,827.78 × 85,705.75
  4. Step 4: Simplify right side
    152,773.75x = 18,069,153,005.74
  5. Step 5: Solve for x
    x = 18,069,153,005.74/152,773.75
  6. Step 6: Final answer
    x = 118,273.94

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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.