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Finding the Fourth Proportional to 342,866.91, 514,259.40 and 90,167.09

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Solution

The fourth proportional to 342,866.91, 514,259.40 and 90,167.09 is: 135,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,866.91 : 514,259.40 = 90,167.09 : x
  2. Step 2: Convert to fraction form
    342,866.91/514,259.40 = 90,167.09/x
  3. Step 3: Cross multiply
    342,866.91x = 514,259.40 × 90,167.09
  4. Step 4: Simplify right side
    342,866.91x = 46,369,271,031.85
  5. Step 5: Solve for x
    x = 46,369,271,031.85/342,866.91
  6. Step 6: Final answer
    x = 135,239.85

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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.