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Finding the Fourth Proportional to 137,745.51, 190,074.18 and 77,322.80

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Solution

The fourth proportional to 137,745.51, 190,074.18 and 77,322.80 is: 106,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,745.51 : 190,074.18 = 77,322.80 : x
  2. Step 2: Convert to fraction form
    137,745.51/190,074.18 = 77,322.80/x
  3. Step 3: Cross multiply
    137,745.51x = 190,074.18 × 77,322.80
  4. Step 4: Simplify right side
    137,745.51x = 14,697,066,854.93
  5. Step 5: Solve for x
    x = 14,697,066,854.93/137,745.51
  6. Step 6: Final answer
    x = 106,697.25

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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.