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Finding the Fourth Proportional to 85,374, 128,071.22 and 26,201.93

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Solution

The fourth proportional to 85,374, 128,071.22 and 26,201.93 is: 39,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,374 : 128,071.22 = 26,201.93 : x
  2. Step 2: Convert to fraction form
    85,374/128,071.22 = 26,201.93/x
  3. Step 3: Cross multiply
    85,374x = 128,071.22 × 26,201.93
  4. Step 4: Simplify right side
    85,374x = 3,355,712,370.09
  5. Step 5: Solve for x
    x = 3,355,712,370.09/85,374
  6. Step 6: Final answer
    x = 39,306.02

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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.