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Finding the Fourth Proportional to 286,098.94, 429,225.81 and 86,425.84

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Solution

The fourth proportional to 286,098.94, 429,225.81 and 86,425.84 is: 129,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,098.94 : 429,225.81 = 86,425.84 : x
  2. Step 2: Convert to fraction form
    286,098.94/429,225.81 = 86,425.84/x
  3. Step 3: Cross multiply
    286,098.94x = 429,225.81 × 86,425.84
  4. Step 4: Simplify right side
    286,098.94x = 37,096,201,178.93
  5. Step 5: Solve for x
    x = 37,096,201,178.93/286,098.94
  6. Step 6: Final answer
    x = 129,662.14

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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.