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Finding the Fourth Proportional to 77,678.84, 116,556.96 and 35,558.84

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Solution

The fourth proportional to 77,678.84, 116,556.96 and 35,558.84 is: 53,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,678.84 : 116,556.96 = 35,558.84 : x
  2. Step 2: Convert to fraction form
    77,678.84/116,556.96 = 35,558.84/x
  3. Step 3: Cross multiply
    77,678.84x = 116,556.96 × 35,558.84
  4. Step 4: Simplify right side
    77,678.84x = 4,144,630,291.53
  5. Step 5: Solve for x
    x = 4,144,630,291.53/77,678.84
  6. Step 6: Final answer
    x = 53,355.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.