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Finding the Fourth Proportional to 151,095, 208,515.68 and 83,108.48

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Solution

The fourth proportional to 151,095, 208,515.68 and 83,108.48 is: 114,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,095 : 208,515.68 = 83,108.48 : x
  2. Step 2: Convert to fraction form
    151,095/208,515.68 = 83,108.48/x
  3. Step 3: Cross multiply
    151,095x = 208,515.68 × 83,108.48
  4. Step 4: Simplify right side
    151,095x = 17,329,421,220.97
  5. Step 5: Solve for x
    x = 17,329,421,220.97/151,095
  6. Step 6: Final answer
    x = 114,692.22

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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.