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Finding the Fourth Proportional to 279,148, 385,060.08 and 165,964

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Solution

The fourth proportional to 279,148, 385,060.08 and 165,964 is: 228,932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,148 : 385,060.08 = 165,964 : x
  2. Step 2: Convert to fraction form
    279,148/385,060.08 = 165,964/x
  3. Step 3: Cross multiply
    279,148x = 385,060.08 × 165,964
  4. Step 4: Simplify right side
    279,148x = 63,906,111,117.12
  5. Step 5: Solve for x
    x = 63,906,111,117.12/279,148
  6. Step 6: Final answer
    x = 228,932.72

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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.