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Finding the Fourth Proportional to 286,775.55, 429,911.81 and 109,164.42

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Solution

The fourth proportional to 286,775.55, 429,911.81 and 109,164.42 is: 163,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,775.55 : 429,911.81 = 109,164.42 : x
  2. Step 2: Convert to fraction form
    286,775.55/429,911.81 = 109,164.42/x
  3. Step 3: Cross multiply
    286,775.55x = 429,911.81 × 109,164.42
  4. Step 4: Simplify right side
    286,775.55x = 46,931,073,662.71
  5. Step 5: Solve for x
    x = 46,931,073,662.71/286,775.55
  6. Step 6: Final answer
    x = 163,650.89

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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.