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Finding the Fourth Proportional to 77,382.51, 106,806.84 and 47,184.45

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Solution

The fourth proportional to 77,382.51, 106,806.84 and 47,184.45 is: 65,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,382.51 : 106,806.84 = 47,184.45 : x
  2. Step 2: Convert to fraction form
    77,382.51/106,806.84 = 47,184.45/x
  3. Step 3: Cross multiply
    77,382.51x = 106,806.84 × 47,184.45
  4. Step 4: Simplify right side
    77,382.51x = 5,039,622,001.64
  5. Step 5: Solve for x
    x = 5,039,622,001.64/77,382.51
  6. Step 6: Final answer
    x = 65,126.11

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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.