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Finding the Fourth Proportional to 164,123.51, 245,971.43 and 74,099.30

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Solution

The fourth proportional to 164,123.51, 245,971.43 and 74,099.30 is: 111,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,123.51 : 245,971.43 = 74,099.30 : x
  2. Step 2: Convert to fraction form
    164,123.51/245,971.43 = 74,099.30/x
  3. Step 3: Cross multiply
    164,123.51x = 245,971.43 × 74,099.30
  4. Step 4: Simplify right side
    164,123.51x = 18,226,310,412.50
  5. Step 5: Solve for x
    x = 18,226,310,412.50/164,123.51
  6. Step 6: Final answer
    x = 111,052.40

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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.