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Finding the Fourth Proportional to 153,702.75, 212,109.39 and 85,719.81

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Solution

The fourth proportional to 153,702.75, 212,109.39 and 85,719.81 is: 118,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,702.75 : 212,109.39 = 85,719.81 : x
  2. Step 2: Convert to fraction form
    153,702.75/212,109.39 = 85,719.81/x
  3. Step 3: Cross multiply
    153,702.75x = 212,109.39 × 85,719.81
  4. Step 4: Simplify right side
    153,702.75x = 18,181,976,610.02
  5. Step 5: Solve for x
    x = 18,181,976,610.02/153,702.75
  6. Step 6: Final answer
    x = 118,293.11

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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.