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Finding the Fourth Proportional to 202,058.15, 278,834.88 and 111,412.57

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Solution

The fourth proportional to 202,058.15, 278,834.88 and 111,412.57 is: 153,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,058.15 : 278,834.88 = 111,412.57 : x
  2. Step 2: Convert to fraction form
    202,058.15/278,834.88 = 111,412.57/x
  3. Step 3: Cross multiply
    202,058.15x = 278,834.88 × 111,412.57
  4. Step 4: Simplify right side
    202,058.15x = 31,065,710,586.44
  5. Step 5: Solve for x
    x = 31,065,710,586.44/202,058.15
  6. Step 6: Final answer
    x = 153,746.39

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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.