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Finding the Fourth Proportional to 103,868, 155,802.05 and 80,210.13

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Solution

The fourth proportional to 103,868, 155,802.05 and 80,210.13 is: 120,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,868 : 155,802.05 = 80,210.13 : x
  2. Step 2: Convert to fraction form
    103,868/155,802.05 = 80,210.13/x
  3. Step 3: Cross multiply
    103,868x = 155,802.05 × 80,210.13
  4. Step 4: Simplify right side
    103,868x = 12,496,902,684.77
  5. Step 5: Solve for x
    x = 12,496,902,684.77/103,868
  6. Step 6: Final answer
    x = 120,315.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.