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Finding the Fourth Proportional to 103,948, 143,448.64 and 58,009.60

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Solution

The fourth proportional to 103,948, 143,448.64 and 58,009.60 is: 80,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,948 : 143,448.64 = 58,009.60 : x
  2. Step 2: Convert to fraction form
    103,948/143,448.64 = 58,009.60/x
  3. Step 3: Cross multiply
    103,948x = 143,448.64 × 58,009.60
  4. Step 4: Simplify right side
    103,948x = 8,321,398,226.94
  5. Step 5: Solve for x
    x = 8,321,398,226.94/103,948
  6. Step 6: Final answer
    x = 80,053.47

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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.