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Finding the Fourth Proportional to 189,078.40, 260,924.84 and 103,038.15

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Solution

The fourth proportional to 189,078.40, 260,924.84 and 103,038.15 is: 142,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,078.40 : 260,924.84 = 103,038.15 : x
  2. Step 2: Convert to fraction form
    189,078.40/260,924.84 = 103,038.15/x
  3. Step 3: Cross multiply
    189,078.40x = 260,924.84 × 103,038.15
  4. Step 4: Simplify right side
    189,078.40x = 26,885,210,982.83
  5. Step 5: Solve for x
    x = 26,885,210,982.83/189,078.40
  6. Step 6: Final answer
    x = 142,190.81

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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.