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Finding the Fourth Proportional to 223,205.10, 334,807.65 and 139,224.30

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Solution

The fourth proportional to 223,205.10, 334,807.65 and 139,224.30 is: 208,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,205.10 : 334,807.65 = 139,224.30 : x
  2. Step 2: Convert to fraction form
    223,205.10/334,807.65 = 139,224.30/x
  3. Step 3: Cross multiply
    223,205.10x = 334,807.65 × 139,224.30
  4. Step 4: Simplify right side
    223,205.10x = 46,613,360,705.90
  5. Step 5: Solve for x
    x = 46,613,360,705.90/223,205.10
  6. Step 6: Final answer
    x = 208,836.45

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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.