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Finding the Fourth Proportional to 131,133.64, 180,968.94 and 83,385.94

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Solution

The fourth proportional to 131,133.64, 180,968.94 and 83,385.94 is: 115,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,133.64 : 180,968.94 = 83,385.94 : x
  2. Step 2: Convert to fraction form
    131,133.64/180,968.94 = 83,385.94/x
  3. Step 3: Cross multiply
    131,133.64x = 180,968.94 × 83,385.94
  4. Step 4: Simplify right side
    131,133.64x = 15,090,265,172.70
  5. Step 5: Solve for x
    x = 15,090,265,172.70/131,133.64
  6. Step 6: Final answer
    x = 115,075.47

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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.