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Finding the Fourth Proportional to 109,075.20, 163,267.20 and 77,971.20

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Solution

The fourth proportional to 109,075.20, 163,267.20 and 77,971.20 is: 116,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,075.20 : 163,267.20 = 77,971.20 : x
  2. Step 2: Convert to fraction form
    109,075.20/163,267.20 = 77,971.20/x
  3. Step 3: Cross multiply
    109,075.20x = 163,267.20 × 77,971.20
  4. Step 4: Simplify right side
    109,075.20x = 12,730,139,504.64
  5. Step 5: Solve for x
    x = 12,730,139,504.64/109,075.20
  6. Step 6: Final answer
    x = 116,709.75

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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.