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Finding the Fourth Proportional to 147,075.40, 220,620.30 and 77,091.40

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Solution

The fourth proportional to 147,075.40, 220,620.30 and 77,091.40 is: 115,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,075.40 : 220,620.30 = 77,091.40 : x
  2. Step 2: Convert to fraction form
    147,075.40/220,620.30 = 77,091.40/x
  3. Step 3: Cross multiply
    147,075.40x = 220,620.30 × 77,091.40
  4. Step 4: Simplify right side
    147,075.40x = 17,007,927,795.42
  5. Step 5: Solve for x
    x = 17,007,927,795.42/147,075.40
  6. Step 6: Final answer
    x = 115,640.87

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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.