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Finding the Fourth Proportional to 100,025.68, 138,085.64 and 77,313.40

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Solution

The fourth proportional to 100,025.68, 138,085.64 and 77,313.40 is: 106,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,025.68 : 138,085.64 = 77,313.40 : x
  2. Step 2: Convert to fraction form
    100,025.68/138,085.64 = 77,313.40/x
  3. Step 3: Cross multiply
    100,025.68x = 138,085.64 × 77,313.40
  4. Step 4: Simplify right side
    100,025.68x = 10,675,870,319.58
  5. Step 5: Solve for x
    x = 10,675,870,319.58/100,025.68
  6. Step 6: Final answer
    x = 106,731.29

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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.