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Finding the Fourth Proportional to 154,661.84, 213,448.32 and 86,690.36

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Solution

The fourth proportional to 154,661.84, 213,448.32 and 86,690.36 is: 119,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,661.84 : 213,448.32 = 86,690.36 : x
  2. Step 2: Convert to fraction form
    154,661.84/213,448.32 = 86,690.36/x
  3. Step 3: Cross multiply
    154,661.84x = 213,448.32 × 86,690.36
  4. Step 4: Simplify right side
    154,661.84x = 18,503,911,702.20
  5. Step 5: Solve for x
    x = 18,503,911,702.20/154,661.84
  6. Step 6: Final answer
    x = 119,641.09

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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.