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Finding the Fourth Proportional to 77,775.91, 107,329.53 and 43,784.32

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Solution

The fourth proportional to 77,775.91, 107,329.53 and 43,784.32 is: 60,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,775.91 : 107,329.53 = 43,784.32 : x
  2. Step 2: Convert to fraction form
    77,775.91/107,329.53 = 43,784.32/x
  3. Step 3: Cross multiply
    77,775.91x = 107,329.53 × 43,784.32
  4. Step 4: Simplify right side
    77,775.91x = 4,699,350,486.97
  5. Step 5: Solve for x
    x = 4,699,350,486.97/77,775.91
  6. Step 6: Final answer
    x = 60,421.67

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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.