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Finding the Fourth Proportional to 70,710.80, 106,038.39 and 25,721.47

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Solution

The fourth proportional to 70,710.80, 106,038.39 and 25,721.47 is: 38,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,710.80 : 106,038.39 = 25,721.47 : x
  2. Step 2: Convert to fraction form
    70,710.80/106,038.39 = 25,721.47/x
  3. Step 3: Cross multiply
    70,710.80x = 106,038.39 × 25,721.47
  4. Step 4: Simplify right side
    70,710.80x = 2,727,463,496.24
  5. Step 5: Solve for x
    x = 2,727,463,496.24/70,710.80
  6. Step 6: Final answer
    x = 38,572.09

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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.