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Finding the Fourth Proportional to 70,308.49, 105,463.14 and 28,755.49

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Solution

The fourth proportional to 70,308.49, 105,463.14 and 28,755.49 is: 43,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,308.49 : 105,463.14 = 28,755.49 : x
  2. Step 2: Convert to fraction form
    70,308.49/105,463.14 = 28,755.49/x
  3. Step 3: Cross multiply
    70,308.49x = 105,463.14 × 28,755.49
  4. Step 4: Simplify right side
    70,308.49x = 3,032,644,267.64
  5. Step 5: Solve for x
    x = 3,032,644,267.64/70,308.49
  6. Step 6: Final answer
    x = 43,133.40

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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.