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Finding the Fourth Proportional to 153,702.61, 212,109.16 and 85,719.66

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Solution

The fourth proportional to 153,702.61, 212,109.16 and 85,719.66 is: 118,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,702.61 : 212,109.16 = 85,719.66 : x
  2. Step 2: Convert to fraction form
    153,702.61/212,109.16 = 85,719.66/x
  3. Step 3: Cross multiply
    153,702.61x = 212,109.16 × 85,719.66
  4. Step 4: Simplify right side
    153,702.61x = 18,181,925,078.09
  5. Step 5: Solve for x
    x = 18,181,925,078.09/153,702.61
  6. Step 6: Final answer
    x = 118,292.88

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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.