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Finding the Fourth Proportional to 105,062.68, 144,945.23 and 64,706.41

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Solution

The fourth proportional to 105,062.68, 144,945.23 and 64,706.41 is: 89,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,062.68 : 144,945.23 = 64,706.41 : x
  2. Step 2: Convert to fraction form
    105,062.68/144,945.23 = 64,706.41/x
  3. Step 3: Cross multiply
    105,062.68x = 144,945.23 × 64,706.41
  4. Step 4: Simplify right side
    105,062.68x = 9,378,884,755.20
  5. Step 5: Solve for x
    x = 9,378,884,755.20/105,062.68
  6. Step 6: Final answer
    x = 89,269.42

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1.5x scale

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.