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Finding the Fourth Proportional to 130,494, 180,081.90 and 70,878

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Solution

The fourth proportional to 130,494, 180,081.90 and 70,878 is: 97,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,494 : 180,081.90 = 70,878 : x
  2. Step 2: Convert to fraction form
    130,494/180,081.90 = 70,878/x
  3. Step 3: Cross multiply
    130,494x = 180,081.90 × 70,878
  4. Step 4: Simplify right side
    130,494x = 12,763,844,908.20
  5. Step 5: Solve for x
    x = 12,763,844,908.20/130,494
  6. Step 6: Final answer
    x = 97,811.74

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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.