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Finding the Fourth Proportional to 83,378.40, 115,051.50 and 47,566.32

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Solution

The fourth proportional to 83,378.40, 115,051.50 and 47,566.32 is: 65,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,378.40 : 115,051.50 = 47,566.32 : x
  2. Step 2: Convert to fraction form
    83,378.40/115,051.50 = 47,566.32/x
  3. Step 3: Cross multiply
    83,378.40x = 115,051.50 × 47,566.32
  4. Step 4: Simplify right side
    83,378.40x = 5,472,576,465.48
  5. Step 5: Solve for x
    x = 5,472,576,465.48/83,378.40
  6. Step 6: Final answer
    x = 65,635.42

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1.5x scale

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.