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Finding the Fourth Proportional to 129,075.60, 178,093.17 and 75,329.94

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Solution

The fourth proportional to 129,075.60, 178,093.17 and 75,329.94 is: 103,937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,075.60 : 178,093.17 = 75,329.94 : x
  2. Step 2: Convert to fraction form
    129,075.60/178,093.17 = 75,329.94/x
  3. Step 3: Cross multiply
    129,075.60x = 178,093.17 × 75,329.94
  4. Step 4: Simplify right side
    129,075.60x = 13,415,747,810.51
  5. Step 5: Solve for x
    x = 13,415,747,810.51/129,075.60
  6. Step 6: Final answer
    x = 103,937.13

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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.