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Finding the Fourth Proportional to 189,078.94, 260,925.60 and 103,038.70

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Solution

The fourth proportional to 189,078.94, 260,925.60 and 103,038.70 is: 142,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,078.94 : 260,925.60 = 103,038.70 : x
  2. Step 2: Convert to fraction form
    189,078.94/260,925.60 = 103,038.70/x
  3. Step 3: Cross multiply
    189,078.94x = 260,925.60 × 103,038.70
  4. Step 4: Simplify right side
    189,078.94x = 26,885,434,620.72
  5. Step 5: Solve for x
    x = 26,885,434,620.72/189,078.94
  6. Step 6: Final answer
    x = 142,191.59

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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.