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Finding the Fourth Proportional to 286,795.51, 429,805.72 and 109,205.64

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Solution

The fourth proportional to 286,795.51, 429,805.72 and 109,205.64 is: 163,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,795.51 : 429,805.72 = 109,205.64 : x
  2. Step 2: Convert to fraction form
    286,795.51/429,805.72 = 109,205.64/x
  3. Step 3: Cross multiply
    286,795.51x = 429,805.72 × 109,205.64
  4. Step 4: Simplify right side
    286,795.51x = 46,937,209,766.46
  5. Step 5: Solve for x
    x = 46,937,209,766.46/286,795.51
  6. Step 6: Final answer
    x = 163,660.89

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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.