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Finding the Fourth Proportional to 77,344.56, 106,733.70 and 45,077.13

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Solution

The fourth proportional to 77,344.56, 106,733.70 and 45,077.13 is: 62,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,344.56 : 106,733.70 = 45,077.13 : x
  2. Step 2: Convert to fraction form
    77,344.56/106,733.70 = 45,077.13/x
  3. Step 3: Cross multiply
    77,344.56x = 106,733.70 × 45,077.13
  4. Step 4: Simplify right side
    77,344.56x = 4,811,248,870.28
  5. Step 5: Solve for x
    x = 4,811,248,870.28/77,344.56
  6. Step 6: Final answer
    x = 62,205.39

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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.