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Finding the Fourth Proportional to 77,809.16, 116,709.86 and 27,888.44

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Solution

The fourth proportional to 77,809.16, 116,709.86 and 27,888.44 is: 41,831.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,809.16 : 116,709.86 = 27,888.44 : x
  2. Step 2: Convert to fraction form
    77,809.16/116,709.86 = 27,888.44/x
  3. Step 3: Cross multiply
    77,809.16x = 116,709.86 × 27,888.44
  4. Step 4: Simplify right side
    77,809.16x = 3,254,855,928.02
  5. Step 5: Solve for x
    x = 3,254,855,928.02/77,809.16
  6. Step 6: Final answer
    x = 41,831.27

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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.