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Finding the Fourth Proportional to 102,702.84, 141,679.36 and 68,718.90

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Solution

The fourth proportional to 102,702.84, 141,679.36 and 68,718.90 is: 94,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,702.84 : 141,679.36 = 68,718.90 : x
  2. Step 2: Convert to fraction form
    102,702.84/141,679.36 = 68,718.90/x
  3. Step 3: Cross multiply
    102,702.84x = 141,679.36 × 68,718.90
  4. Step 4: Simplify right side
    102,702.84x = 9,736,049,771.90
  5. Step 5: Solve for x
    x = 9,736,049,771.90/102,702.84
  6. Step 6: Final answer
    x = 94,798.25

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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.