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Finding the Fourth Proportional to 152,770.14, 210,822.78 and 85,702.14

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Solution

The fourth proportional to 152,770.14, 210,822.78 and 85,702.14 is: 118,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,770.14 : 210,822.78 = 85,702.14 : x
  2. Step 2: Convert to fraction form
    152,770.14/210,822.78 = 85,702.14/x
  3. Step 3: Cross multiply
    152,770.14x = 210,822.78 × 85,702.14
  4. Step 4: Simplify right side
    152,770.14x = 18,067,963,406.75
  5. Step 5: Solve for x
    x = 18,067,963,406.75/152,770.14
  6. Step 6: Final answer
    x = 118,268.95

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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.