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Finding the Fourth Proportional to 77,078.76, 115,629.16 and 23,775.24

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Solution

The fourth proportional to 77,078.76, 115,629.16 and 23,775.24 is: 35,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,078.76 : 115,629.16 = 23,775.24 : x
  2. Step 2: Convert to fraction form
    77,078.76/115,629.16 = 23,775.24/x
  3. Step 3: Cross multiply
    77,078.76x = 115,629.16 × 23,775.24
  4. Step 4: Simplify right side
    77,078.76x = 2,749,111,030.00
  5. Step 5: Solve for x
    x = 2,749,111,030.00/77,078.76
  6. Step 6: Final answer
    x = 35,666.26

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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.