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Finding the Fourth Proportional to 221,909.34, 306,239.58 and 121,307.34

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Solution

The fourth proportional to 221,909.34, 306,239.58 and 121,307.34 is: 167,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,909.34 : 306,239.58 = 121,307.34 : x
  2. Step 2: Convert to fraction form
    221,909.34/306,239.58 = 121,307.34/x
  3. Step 3: Cross multiply
    221,909.34x = 306,239.58 × 121,307.34
  4. Step 4: Simplify right side
    221,909.34x = 37,149,108,852.52
  5. Step 5: Solve for x
    x = 37,149,108,852.52/221,909.34
  6. Step 6: Final answer
    x = 167,406.69

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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.