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Finding the Fourth Proportional to 77,536.40, 106,987.41 and 45,711.44

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Solution

The fourth proportional to 77,536.40, 106,987.41 and 45,711.44 is: 63,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,536.40 : 106,987.41 = 45,711.44 : x
  2. Step 2: Convert to fraction form
    77,536.40/106,987.41 = 45,711.44/x
  3. Step 3: Cross multiply
    77,536.40x = 106,987.41 × 45,711.44
  4. Step 4: Simplify right side
    77,536.40x = 4,890,548,038.03
  5. Step 5: Solve for x
    x = 4,890,548,038.03/77,536.40
  6. Step 6: Final answer
    x = 63,074.23

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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.