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Finding the Fourth Proportional to 128,885.13, 193,069 and 65,702.70

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Solution

The fourth proportional to 128,885.13, 193,069 and 65,702.70 is: 98,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,885.13 : 193,069 = 65,702.70 : x
  2. Step 2: Convert to fraction form
    128,885.13/193,069 = 65,702.70/x
  3. Step 3: Cross multiply
    128,885.13x = 193,069 × 65,702.70
  4. Step 4: Simplify right side
    128,885.13x = 12,685,154,586.30
  5. Step 5: Solve for x
    x = 12,685,154,586.30/128,885.13
  6. Step 6: Final answer
    x = 98,422.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.