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Finding the Fourth Proportional to 100,025.83, 138,085.82 and 77,313.53

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Solution

The fourth proportional to 100,025.83, 138,085.82 and 77,313.53 is: 106,731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,025.83 : 138,085.82 = 77,313.53 : x
  2. Step 2: Convert to fraction form
    100,025.83/138,085.82 = 77,313.53/x
  3. Step 3: Cross multiply
    100,025.83x = 138,085.82 × 77,313.53
  4. Step 4: Simplify right side
    100,025.83x = 10,675,902,725.64
  5. Step 5: Solve for x
    x = 10,675,902,725.64/100,025.83
  6. Step 6: Final answer
    x = 106,731.46

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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.