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Finding the Fourth Proportional to 189,025.31, 260,854.16 and 102,984.05

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Solution

The fourth proportional to 189,025.31, 260,854.16 and 102,984.05 is: 142,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,025.31 : 260,854.16 = 102,984.05 : x
  2. Step 2: Convert to fraction form
    189,025.31/260,854.16 = 102,984.05/x
  3. Step 3: Cross multiply
    189,025.31x = 260,854.16 × 102,984.05
  4. Step 4: Simplify right side
    189,025.31x = 26,863,817,993.36
  5. Step 5: Solve for x
    x = 26,863,817,993.36/189,025.31
  6. Step 6: Final answer
    x = 142,117.57

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1.5x scale

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.