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Finding the Fourth Proportional to 100,896.92, 139,254.36 and 76,978.40

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Solution

The fourth proportional to 100,896.92, 139,254.36 and 76,978.40 is: 106,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,896.92 : 139,254.36 = 76,978.40 : x
  2. Step 2: Convert to fraction form
    100,896.92/139,254.36 = 76,978.40/x
  3. Step 3: Cross multiply
    100,896.92x = 139,254.36 × 76,978.40
  4. Step 4: Simplify right side
    100,896.92x = 10,719,577,825.82
  5. Step 5: Solve for x
    x = 10,719,577,825.82/100,896.92
  6. Step 6: Final answer
    x = 106,242.86

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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.