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Finding the Fourth Proportional to 130,635.21, 180,275.74 and 71,019.21

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Solution

The fourth proportional to 130,635.21, 180,275.74 and 71,019.21 is: 98,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,635.21 : 180,275.74 = 71,019.21 : x
  2. Step 2: Convert to fraction form
    130,635.21/180,275.74 = 71,019.21/x
  3. Step 3: Cross multiply
    130,635.21x = 180,275.74 × 71,019.21
  4. Step 4: Simplify right side
    130,635.21x = 12,803,040,636.97
  5. Step 5: Solve for x
    x = 12,803,040,636.97/130,635.21
  6. Step 6: Final answer
    x = 98,006.05

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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.