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Finding the Fourth Proportional to 102,408.70, 141,266.13 and 64,101.76

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Solution

The fourth proportional to 102,408.70, 141,266.13 and 64,101.76 is: 88,424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,408.70 : 141,266.13 = 64,101.76 : x
  2. Step 2: Convert to fraction form
    102,408.70/141,266.13 = 64,101.76/x
  3. Step 3: Cross multiply
    102,408.70x = 141,266.13 × 64,101.76
  4. Step 4: Simplify right side
    102,408.70x = 9,055,406,702.97
  5. Step 5: Solve for x
    x = 9,055,406,702.97/102,408.70
  6. Step 6: Final answer
    x = 88,424.19

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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.