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Finding the Fourth Proportional to 145,075.30, 200,212.80 and 81,413.10

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Solution

The fourth proportional to 145,075.30, 200,212.80 and 81,413.10 is: 112,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,075.30 : 200,212.80 = 81,413.10 : x
  2. Step 2: Convert to fraction form
    145,075.30/200,212.80 = 81,413.10/x
  3. Step 3: Cross multiply
    145,075.30x = 200,212.80 × 81,413.10
  4. Step 4: Simplify right side
    145,075.30x = 16,299,943,299.55
  5. Step 5: Solve for x
    x = 16,299,943,299.55/145,075.30
  6. Step 6: Final answer
    x = 112,355.06

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1.5x scale

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.