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Finding the Fourth Proportional to 77,205.78, 106,543.98 and 41,877.78

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Solution

The fourth proportional to 77,205.78, 106,543.98 and 41,877.78 is: 57,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,205.78 : 106,543.98 = 41,877.78 : x
  2. Step 2: Convert to fraction form
    77,205.78/106,543.98 = 41,877.78/x
  3. Step 3: Cross multiply
    77,205.78x = 106,543.98 × 41,877.78
  4. Step 4: Simplify right side
    77,205.78x = 4,461,825,354.76
  5. Step 5: Solve for x
    x = 4,461,825,354.76/77,205.78
  6. Step 6: Final answer
    x = 57,791.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.