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Finding the Fourth Proportional to 148,706.11, 205,214.51 and 80,723.01

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Solution

The fourth proportional to 148,706.11, 205,214.51 and 80,723.01 is: 111,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,706.11 : 205,214.51 = 80,723.01 : x
  2. Step 2: Convert to fraction form
    148,706.11/205,214.51 = 80,723.01/x
  3. Step 3: Cross multiply
    148,706.11x = 205,214.51 × 80,723.01
  4. Step 4: Simplify right side
    148,706.11x = 16,565,533,914.24
  5. Step 5: Solve for x
    x = 16,565,533,914.24/148,706.11
  6. Step 6: Final answer
    x = 111,397.80

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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.