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Finding the Fourth Proportional to 189,101.04, 260,965.08 and 104,223.60

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Solution

The fourth proportional to 189,101.04, 260,965.08 and 104,223.60 is: 143,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,101.04 : 260,965.08 = 104,223.60 : x
  2. Step 2: Convert to fraction form
    189,101.04/260,965.08 = 104,223.60/x
  3. Step 3: Cross multiply
    189,101.04x = 260,965.08 × 104,223.60
  4. Step 4: Simplify right side
    189,101.04x = 27,198,720,111.89
  5. Step 5: Solve for x
    x = 27,198,720,111.89/189,101.04
  6. Step 6: Final answer
    x = 143,831.68

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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.