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Finding the Fourth Proportional to 102,710.50, 141,736.03 and 64,489.84

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Solution

The fourth proportional to 102,710.50, 141,736.03 and 64,489.84 is: 88,993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,710.50 : 141,736.03 = 64,489.84 : x
  2. Step 2: Convert to fraction form
    102,710.50/141,736.03 = 64,489.84/x
  3. Step 3: Cross multiply
    102,710.50x = 141,736.03 × 64,489.84
  4. Step 4: Simplify right side
    102,710.50x = 9,140,533,381.37
  5. Step 5: Solve for x
    x = 9,140,533,381.37/102,710.50
  6. Step 6: Final answer
    x = 88,993.18

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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.