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Finding the Fourth Proportional to 211,988.70, 317,946.60 and 78,800.40

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Solution

The fourth proportional to 211,988.70, 317,946.60 and 78,800.40 is: 118,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,988.70 : 317,946.60 = 78,800.40 : x
  2. Step 2: Convert to fraction form
    211,988.70/317,946.60 = 78,800.40/x
  3. Step 3: Cross multiply
    211,988.70x = 317,946.60 × 78,800.40
  4. Step 4: Simplify right side
    211,988.70x = 25,054,319,258.64
  5. Step 5: Solve for x
    x = 25,054,319,258.64/211,988.70
  6. Step 6: Final answer
    x = 118,187.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.