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Finding the Fourth Proportional to 77,478.16, 116,201.92 and 21,303.77

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Solution

The fourth proportional to 77,478.16, 116,201.92 and 21,303.77 is: 31,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,478.16 : 116,201.92 = 21,303.77 : x
  2. Step 2: Convert to fraction form
    77,478.16/116,201.92 = 21,303.77/x
  3. Step 3: Cross multiply
    77,478.16x = 116,201.92 × 21,303.77
  4. Step 4: Simplify right side
    77,478.16x = 2,475,538,977.24
  5. Step 5: Solve for x
    x = 2,475,538,977.24/77,478.16
  6. Step 6: Final answer
    x = 31,951.44

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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.