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Finding the Fourth Proportional to 120,582.32, 166,478.84 and 77,636.27

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Solution

The fourth proportional to 120,582.32, 166,478.84 and 77,636.27 is: 107,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,582.32 : 166,478.84 = 77,636.27 : x
  2. Step 2: Convert to fraction form
    120,582.32/166,478.84 = 77,636.27/x
  3. Step 3: Cross multiply
    120,582.32x = 166,478.84 × 77,636.27
  4. Step 4: Simplify right side
    120,582.32x = 12,924,796,927.38
  5. Step 5: Solve for x
    x = 12,924,796,927.38/120,582.32
  6. Step 6: Final answer
    x = 107,186.50

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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.