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Finding the Fourth Proportional to 212,755.75, 319,161.29 and 77,798.80

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Solution

The fourth proportional to 212,755.75, 319,161.29 and 77,798.80 is: 116,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,755.75 : 319,161.29 = 77,798.80 : x
  2. Step 2: Convert to fraction form
    212,755.75/319,161.29 = 77,798.80/x
  3. Step 3: Cross multiply
    212,755.75x = 319,161.29 × 77,798.80
  4. Step 4: Simplify right side
    212,755.75x = 24,830,365,368.45
  5. Step 5: Solve for x
    x = 24,830,365,368.45/212,755.75
  6. Step 6: Final answer
    x = 116,708.32

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1.5x scale

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.