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Finding the Fourth Proportional to 223,695.75, 308,956.10 and 151,955.67

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Solution

The fourth proportional to 223,695.75, 308,956.10 and 151,955.67 is: 209,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,695.75 : 308,956.10 = 151,955.67 : x
  2. Step 2: Convert to fraction form
    223,695.75/308,956.10 = 151,955.67/x
  3. Step 3: Cross multiply
    223,695.75x = 308,956.10 × 151,955.67
  4. Step 4: Simplify right side
    223,695.75x = 46,947,630,416.31
  5. Step 5: Solve for x
    x = 46,947,630,416.31/223,695.75
  6. Step 6: Final answer
    x = 209,872.70

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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.