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Finding the Fourth Proportional to 77,938, 116,907.64 and 22,534.48

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Solution

The fourth proportional to 77,938, 116,907.64 and 22,534.48 is: 33,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,938 : 116,907.64 = 22,534.48 : x
  2. Step 2: Convert to fraction form
    77,938/116,907.64 = 22,534.48/x
  3. Step 3: Cross multiply
    77,938x = 116,907.64 × 22,534.48
  4. Step 4: Simplify right side
    77,938x = 2,634,452,875.43
  5. Step 5: Solve for x
    x = 2,634,452,875.43/77,938
  6. Step 6: Final answer
    x = 33,801.91

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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.