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Finding the Fourth Proportional to 208,948.60, 313,595.70 and 96,801.40

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Solution

The fourth proportional to 208,948.60, 313,595.70 and 96,801.40 is: 145,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,948.60 : 313,595.70 = 96,801.40 : x
  2. Step 2: Convert to fraction form
    208,948.60/313,595.70 = 96,801.40/x
  3. Step 3: Cross multiply
    208,948.60x = 313,595.70 × 96,801.40
  4. Step 4: Simplify right side
    208,948.60x = 30,356,502,793.98
  5. Step 5: Solve for x
    x = 30,356,502,793.98/208,948.60
  6. Step 6: Final answer
    x = 145,282.15

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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.