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Finding the Fourth Proportional to 209,951.70, 314,927.55 and 125,970.90

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Solution

The fourth proportional to 209,951.70, 314,927.55 and 125,970.90 is: 188,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,951.70 : 314,927.55 = 125,970.90 : x
  2. Step 2: Convert to fraction form
    209,951.70/314,927.55 = 125,970.90/x
  3. Step 3: Cross multiply
    209,951.70x = 314,927.55 × 125,970.90
  4. Step 4: Simplify right side
    209,951.70x = 39,671,706,908.30
  5. Step 5: Solve for x
    x = 39,671,706,908.30/209,951.70
  6. Step 6: Final answer
    x = 188,956.35

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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.