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Finding the Fourth Proportional to 148,603, 205,075.74 and 81,535

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Solution

The fourth proportional to 148,603, 205,075.74 and 81,535 is: 112,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,603 : 205,075.74 = 81,535 : x
  2. Step 2: Convert to fraction form
    148,603/205,075.74 = 81,535/x
  3. Step 3: Cross multiply
    148,603x = 205,075.74 × 81,535
  4. Step 4: Simplify right side
    148,603x = 16,720,850,460.90
  5. Step 5: Solve for x
    x = 16,720,850,460.90/148,603
  6. Step 6: Final answer
    x = 112,520.28

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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.