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Finding the Fourth Proportional to 202,009.52, 278,779.12 and 111,369.30

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Solution

The fourth proportional to 202,009.52, 278,779.12 and 111,369.30 is: 153,692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,009.52 : 278,779.12 = 111,369.30 : x
  2. Step 2: Convert to fraction form
    202,009.52/278,779.12 = 111,369.30/x
  3. Step 3: Cross multiply
    202,009.52x = 278,779.12 × 111,369.30
  4. Step 4: Simplify right side
    202,009.52x = 31,047,435,449.02
  5. Step 5: Solve for x
    x = 31,047,435,449.02/202,009.52
  6. Step 6: Final answer
    x = 153,692.93

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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.