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Finding the Fourth Proportional to 273,045.18, 409,567.90 and 86,071.26

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Solution

The fourth proportional to 273,045.18, 409,567.90 and 86,071.26 is: 129,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,045.18 : 409,567.90 = 86,071.26 : x
  2. Step 2: Convert to fraction form
    273,045.18/409,567.90 = 86,071.26/x
  3. Step 3: Cross multiply
    273,045.18x = 409,567.90 × 86,071.26
  4. Step 4: Simplify right side
    273,045.18x = 35,252,025,208.55
  5. Step 5: Solve for x
    x = 35,252,025,208.55/273,045.18
  6. Step 6: Final answer
    x = 129,106.93

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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.