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Finding the Fourth Proportional to 70,710.36, 106,048.10 and 42,255.47

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Solution

The fourth proportional to 70,710.36, 106,048.10 and 42,255.47 is: 63,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,710.36 : 106,048.10 = 42,255.47 : x
  2. Step 2: Convert to fraction form
    70,710.36/106,048.10 = 42,255.47/x
  3. Step 3: Cross multiply
    70,710.36x = 106,048.10 × 42,255.47
  4. Step 4: Simplify right side
    70,710.36x = 4,481,111,566.59
  5. Step 5: Solve for x
    x = 4,481,111,566.59/70,710.36
  6. Step 6: Final answer
    x = 63,372.77

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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.