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Finding the Fourth Proportional to 211,989.70, 317,948.10 and 78,801.40

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Solution

The fourth proportional to 211,989.70, 317,948.10 and 78,801.40 is: 118,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,989.70 : 317,948.10 = 78,801.40 : x
  2. Step 2: Convert to fraction form
    211,989.70/317,948.10 = 78,801.40/x
  3. Step 3: Cross multiply
    211,989.70x = 317,948.10 × 78,801.40
  4. Step 4: Simplify right side
    211,989.70x = 25,054,755,407.34
  5. Step 5: Solve for x
    x = 25,054,755,407.34/211,989.70
  6. Step 6: Final answer
    x = 118,188.55

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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.