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Finding the Fourth Proportional to 189,215.69, 260,846.39 and 148,859.46

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Solution

The fourth proportional to 189,215.69, 260,846.39 and 148,859.46 is: 205,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,215.69 : 260,846.39 = 148,859.46 : x
  2. Step 2: Convert to fraction form
    189,215.69/260,846.39 = 148,859.46/x
  3. Step 3: Cross multiply
    189,215.69x = 260,846.39 × 148,859.46
  4. Step 4: Simplify right side
    189,215.69x = 38,829,453,130.50
  5. Step 5: Solve for x
    x = 38,829,453,130.50/189,215.69
  6. Step 6: Final answer
    x = 205,212.66

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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.