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Finding the Fourth Proportional to 272,847.90, 409,271.85 and 85,859.40

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Solution

The fourth proportional to 272,847.90, 409,271.85 and 85,859.40 is: 128,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,847.90 : 409,271.85 = 85,859.40 : x
  2. Step 2: Convert to fraction form
    272,847.90/409,271.85 = 85,859.40/x
  3. Step 3: Cross multiply
    272,847.90x = 409,271.85 × 85,859.40
  4. Step 4: Simplify right side
    272,847.90x = 35,139,835,477.89
  5. Step 5: Solve for x
    x = 35,139,835,477.89/272,847.90
  6. Step 6: Final answer
    x = 128,789.10

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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.