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Finding the Fourth Proportional to 100,316.81, 138,454.76 and 76,197.62

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Solution

The fourth proportional to 100,316.81, 138,454.76 and 76,197.62 is: 105,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,316.81 : 138,454.76 = 76,197.62 : x
  2. Step 2: Convert to fraction form
    100,316.81/138,454.76 = 76,197.62/x
  3. Step 3: Cross multiply
    100,316.81x = 138,454.76 × 76,197.62
  4. Step 4: Simplify right side
    100,316.81x = 10,549,922,116.41
  5. Step 5: Solve for x
    x = 10,549,922,116.41/100,316.81
  6. Step 6: Final answer
    x = 105,166.05

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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.