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Finding the Fourth Proportional to 210,167.80, 290,137.32 and 133,763.80

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Solution

The fourth proportional to 210,167.80, 290,137.32 and 133,763.80 is: 184,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,167.80 : 290,137.32 = 133,763.80 : x
  2. Step 2: Convert to fraction form
    210,167.80/290,137.32 = 133,763.80/x
  3. Step 3: Cross multiply
    210,167.80x = 290,137.32 × 133,763.80
  4. Step 4: Simplify right side
    210,167.80x = 38,809,870,445.02
  5. Step 5: Solve for x
    x = 38,809,870,445.02/210,167.80
  6. Step 6: Final answer
    x = 184,661.35

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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.