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Finding the Fourth Proportional to 286,205.70, 429,521.85 and 109,058.70

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Solution

The fourth proportional to 286,205.70, 429,521.85 and 109,058.70 is: 163,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,205.70 : 429,521.85 = 109,058.70 : x
  2. Step 2: Convert to fraction form
    286,205.70/429,521.85 = 109,058.70/x
  3. Step 3: Cross multiply
    286,205.70x = 429,521.85 × 109,058.70
  4. Step 4: Simplify right side
    286,205.70x = 46,843,094,582.60
  5. Step 5: Solve for x
    x = 46,843,094,582.60/286,205.70
  6. Step 6: Final answer
    x = 163,669.33

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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.