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Finding the Fourth Proportional to 209,953, 289,746.66 and 120,534.76

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Solution

The fourth proportional to 209,953, 289,746.66 and 120,534.76 is: 166,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953 : 289,746.66 = 120,534.76 : x
  2. Step 2: Convert to fraction form
    209,953/289,746.66 = 120,534.76/x
  3. Step 3: Cross multiply
    209,953x = 289,746.66 × 120,534.76
  4. Step 4: Simplify right side
    209,953x = 34,924,544,123.90
  5. Step 5: Solve for x
    x = 34,924,544,123.90/209,953
  6. Step 6: Final answer
    x = 166,344.58

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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.