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Finding the Fourth Proportional to 83,952.48, 115,828.40 and 47,648

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Solution

The fourth proportional to 83,952.48, 115,828.40 and 47,648 is: 65,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,952.48 : 115,828.40 = 47,648 : x
  2. Step 2: Convert to fraction form
    83,952.48/115,828.40 = 47,648/x
  3. Step 3: Cross multiply
    83,952.48x = 115,828.40 × 47,648
  4. Step 4: Simplify right side
    83,952.48x = 5,518,991,603.20
  5. Step 5: Solve for x
    x = 5,518,991,603.20/83,952.48
  6. Step 6: Final answer
    x = 65,739.47

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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.