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Finding the Fourth Proportional to 77,411, 106,828.42 and 43,427.06

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Solution

The fourth proportional to 77,411, 106,828.42 and 43,427.06 is: 59,930.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,411 : 106,828.42 = 43,427.06 : x
  2. Step 2: Convert to fraction form
    77,411/106,828.42 = 43,427.06/x
  3. Step 3: Cross multiply
    77,411x = 106,828.42 × 43,427.06
  4. Step 4: Simplify right side
    77,411x = 4,639,244,205.05
  5. Step 5: Solve for x
    x = 4,639,244,205.05/77,411
  6. Step 6: Final answer
    x = 59,930.04

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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.