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Finding the Fourth Proportional to 152,163.84, 209,984.88 and 85,095.84

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Solution

The fourth proportional to 152,163.84, 209,984.88 and 85,095.84 is: 117,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,163.84 : 209,984.88 = 85,095.84 : x
  2. Step 2: Convert to fraction form
    152,163.84/209,984.88 = 85,095.84/x
  3. Step 3: Cross multiply
    152,163.84x = 209,984.88 × 85,095.84
  4. Step 4: Simplify right side
    152,163.84x = 17,868,839,750.90
  5. Step 5: Solve for x
    x = 17,868,839,750.90/152,163.84
  6. Step 6: Final answer
    x = 117,431.58

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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.