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Finding the Fourth Proportional to 153,702.62, 212,109.22 and 85,719.68

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Solution

The fourth proportional to 153,702.62, 212,109.22 and 85,719.68 is: 118,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,702.62 : 212,109.22 = 85,719.68 : x
  2. Step 2: Convert to fraction form
    153,702.62/212,109.22 = 85,719.68/x
  3. Step 3: Cross multiply
    153,702.62x = 212,109.22 × 85,719.68
  4. Step 4: Simplify right side
    153,702.62x = 18,181,934,463.45
  5. Step 5: Solve for x
    x = 18,181,934,463.45/153,702.62
  6. Step 6: Final answer
    x = 118,292.94

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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.