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Finding the Fourth Proportional to 189,031.94, 260,862.70 and 102,990.92

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Solution

The fourth proportional to 189,031.94, 260,862.70 and 102,990.92 is: 142,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,031.94 : 260,862.70 = 102,990.92 : x
  2. Step 2: Convert to fraction form
    189,031.94/260,862.70 = 102,990.92/x
  3. Step 3: Cross multiply
    189,031.94x = 260,862.70 × 102,990.92
  4. Step 4: Simplify right side
    189,031.94x = 26,866,489,121.34
  5. Step 5: Solve for x
    x = 26,866,489,121.34/189,031.94
  6. Step 6: Final answer
    x = 142,126.72

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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.