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Finding the Fourth Proportional to 189,031.16, 260,863.80 and 104,148.22

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Solution

The fourth proportional to 189,031.16, 260,863.80 and 104,148.22 is: 143,724.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,031.16 : 260,863.80 = 104,148.22 : x
  2. Step 2: Convert to fraction form
    189,031.16/260,863.80 = 104,148.22/x
  3. Step 3: Cross multiply
    189,031.16x = 260,863.80 × 104,148.22
  4. Step 4: Simplify right side
    189,031.16x = 27,168,500,432.44
  5. Step 5: Solve for x
    x = 27,168,500,432.44/189,031.16
  6. Step 6: Final answer
    x = 143,724.98

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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.