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Finding the Fourth Proportional to 106,817.64, 147,412.50 and 70,945.80

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Solution

The fourth proportional to 106,817.64, 147,412.50 and 70,945.80 is: 97,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,817.64 : 147,412.50 = 70,945.80 : x
  2. Step 2: Convert to fraction form
    106,817.64/147,412.50 = 70,945.80/x
  3. Step 3: Cross multiply
    106,817.64x = 147,412.50 × 70,945.80
  4. Step 4: Simplify right side
    106,817.64x = 10,458,297,742.50
  5. Step 5: Solve for x
    x = 10,458,297,742.50/106,817.64
  6. Step 6: Final answer
    x = 97,907.96

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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.