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Finding the Fourth Proportional to 154,874.94, 213,802.51 and 103,869.01

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Solution

The fourth proportional to 154,874.94, 213,802.51 and 103,869.01 is: 143,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,874.94 : 213,802.51 = 103,869.01 : x
  2. Step 2: Convert to fraction form
    154,874.94/213,802.51 = 103,869.01/x
  3. Step 3: Cross multiply
    154,874.94x = 213,802.51 × 103,869.01
  4. Step 4: Simplify right side
    154,874.94x = 22,207,455,049.22
  5. Step 5: Solve for x
    x = 22,207,455,049.22/154,874.94
  6. Step 6: Final answer
    x = 143,389.60

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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.