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Finding the Fourth Proportional to 172,109.88, 258,075.75 and 77,258.40

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Solution

The fourth proportional to 172,109.88, 258,075.75 and 77,258.40 is: 115,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,109.88 : 258,075.75 = 77,258.40 : x
  2. Step 2: Convert to fraction form
    172,109.88/258,075.75 = 77,258.40/x
  3. Step 3: Cross multiply
    172,109.88x = 258,075.75 × 77,258.40
  4. Step 4: Simplify right side
    172,109.88x = 19,938,519,523.80
  5. Step 5: Solve for x
    x = 19,938,519,523.80/172,109.88
  6. Step 6: Final answer
    x = 115,847.62

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1.5x scale

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.