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Finding the Fourth Proportional to 105,220, 157,899.12 and 39,556

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Solution

The fourth proportional to 105,220, 157,899.12 and 39,556 is: 59,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,220 : 157,899.12 = 39,556 : x
  2. Step 2: Convert to fraction form
    105,220/157,899.12 = 39,556/x
  3. Step 3: Cross multiply
    105,220x = 157,899.12 × 39,556
  4. Step 4: Simplify right side
    105,220x = 6,245,857,590.72
  5. Step 5: Solve for x
    x = 6,245,857,590.72/105,220
  6. Step 6: Final answer
    x = 59,359.98

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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.