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Finding the Fourth Proportional to 106,720.71, 160,075.28 and 54,128.82

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Solution

The fourth proportional to 106,720.71, 160,075.28 and 54,128.82 is: 81,190.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,720.71 : 160,075.28 = 54,128.82 : x
  2. Step 2: Convert to fraction form
    106,720.71/160,075.28 = 54,128.82/x
  3. Step 3: Cross multiply
    106,720.71x = 160,075.28 × 54,128.82
  4. Step 4: Simplify right side
    106,720.71x = 8,664,685,746.93
  5. Step 5: Solve for x
    x = 8,664,685,746.93/106,720.71
  6. Step 6: Final answer
    x = 81,190.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.