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Finding the Fourth Proportional to 70,344.39, 105,425.06 and 53,643

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Solution

The fourth proportional to 70,344.39, 105,425.06 and 53,643 is: 80,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,344.39 : 105,425.06 = 53,643 : x
  2. Step 2: Convert to fraction form
    70,344.39/105,425.06 = 53,643/x
  3. Step 3: Cross multiply
    70,344.39x = 105,425.06 × 53,643
  4. Step 4: Simplify right side
    70,344.39x = 5,655,316,225.37
  5. Step 5: Solve for x
    x = 5,655,316,225.37/70,344.39
  6. Step 6: Final answer
    x = 80,394.70

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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.