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Finding the Fourth Proportional to 86,044, 129,070.86 and 30,640

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Solution

The fourth proportional to 86,044, 129,070.86 and 30,640 is: 45,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,044 : 129,070.86 = 30,640 : x
  2. Step 2: Convert to fraction form
    86,044/129,070.86 = 30,640/x
  3. Step 3: Cross multiply
    86,044x = 129,070.86 × 30,640
  4. Step 4: Simplify right side
    86,044x = 3,954,731,150.40
  5. Step 5: Solve for x
    x = 3,954,731,150.40/86,044
  6. Step 6: Final answer
    x = 45,961.73

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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.