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Finding the Fourth Proportional to 202,089.20, 302,939.40 and 157,085.60

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Solution

The fourth proportional to 202,089.20, 302,939.40 and 157,085.60 is: 235,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,089.20 : 302,939.40 = 157,085.60 : x
  2. Step 2: Convert to fraction form
    202,089.20/302,939.40 = 157,085.60/x
  3. Step 3: Cross multiply
    202,089.20x = 302,939.40 × 157,085.60
  4. Step 4: Simplify right side
    202,089.20x = 47,587,417,412.64
  5. Step 5: Solve for x
    x = 47,587,417,412.64/202,089.20
  6. Step 6: Final answer
    x = 235,477.29

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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.