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Finding the Fourth Proportional to 105,628.40, 145,712.72 and 71,625.40

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Solution

The fourth proportional to 105,628.40, 145,712.72 and 71,625.40 is: 98,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,628.40 : 145,712.72 = 71,625.40 : x
  2. Step 2: Convert to fraction form
    105,628.40/145,712.72 = 71,625.40/x
  3. Step 3: Cross multiply
    105,628.40x = 145,712.72 × 71,625.40
  4. Step 4: Simplify right side
    105,628.40x = 10,436,731,855.09
  5. Step 5: Solve for x
    x = 10,436,731,855.09/105,628.40
  6. Step 6: Final answer
    x = 98,806.12

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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.