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Finding the Fourth Proportional to 201,762.40, 278,458.80 and 130,350.16

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Solution

The fourth proportional to 201,762.40, 278,458.80 and 130,350.16 is: 179,900.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,762.40 : 278,458.80 = 130,350.16 : x
  2. Step 2: Convert to fraction form
    201,762.40/278,458.80 = 130,350.16/x
  3. Step 3: Cross multiply
    201,762.40x = 278,458.80 × 130,350.16
  4. Step 4: Simplify right side
    201,762.40x = 36,297,149,133.41
  5. Step 5: Solve for x
    x = 36,297,149,133.41/201,762.40
  6. Step 6: Final answer
    x = 179,900.46

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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.