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Finding the Fourth Proportional to 115,004, 171,798.58 and 83,141.84

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Solution

The fourth proportional to 115,004, 171,798.58 and 83,141.84 is: 124,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,004 : 171,798.58 = 83,141.84 : x
  2. Step 2: Convert to fraction form
    115,004/171,798.58 = 83,141.84/x
  3. Step 3: Cross multiply
    115,004x = 171,798.58 × 83,141.84
  4. Step 4: Simplify right side
    115,004x = 14,283,650,050.59
  5. Step 5: Solve for x
    x = 14,283,650,050.59/115,004
  6. Step 6: Final answer
    x = 124,201.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.