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Finding the Fourth Proportional to 106,539, 147,019.48 and 58,791.70

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Solution

The fourth proportional to 106,539, 147,019.48 and 58,791.70 is: 81,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,539 : 147,019.48 = 58,791.70 : x
  2. Step 2: Convert to fraction form
    106,539/147,019.48 = 58,791.70/x
  3. Step 3: Cross multiply
    106,539x = 147,019.48 × 58,791.70
  4. Step 4: Simplify right side
    106,539x = 8,643,525,162.32
  5. Step 5: Solve for x
    x = 8,643,525,162.32/106,539
  6. Step 6: Final answer
    x = 81,130.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.