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Finding the Fourth Proportional to 77,421, 106,843.14 and 43,889.16

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Solution

The fourth proportional to 77,421, 106,843.14 and 43,889.16 is: 60,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,421 : 106,843.14 = 43,889.16 : x
  2. Step 2: Convert to fraction form
    77,421/106,843.14 = 43,889.16/x
  3. Step 3: Cross multiply
    77,421x = 106,843.14 × 43,889.16
  4. Step 4: Simplify right side
    77,421x = 4,689,255,666.36
  5. Step 5: Solve for x
    x = 4,689,255,666.36/77,421
  6. Step 6: Final answer
    x = 60,568.27

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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.