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Finding the Fourth Proportional to 215,206.80, 296,978.58 and 119,712.66

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Solution

The fourth proportional to 215,206.80, 296,978.58 and 119,712.66 is: 165,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,206.80 : 296,978.58 = 119,712.66 : x
  2. Step 2: Convert to fraction form
    215,206.80/296,978.58 = 119,712.66/x
  3. Step 3: Cross multiply
    215,206.80x = 296,978.58 × 119,712.66
  4. Step 4: Simplify right side
    215,206.80x = 35,552,095,774.82
  5. Step 5: Solve for x
    x = 35,552,095,774.82/215,206.80
  6. Step 6: Final answer
    x = 165,199.69

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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.