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Finding the Fourth Proportional to 142,048.02, 213,194.34 and 57,855

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Solution

The fourth proportional to 142,048.02, 213,194.34 and 57,855 is: 86,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,048.02 : 213,194.34 = 57,855 : x
  2. Step 2: Convert to fraction form
    142,048.02/213,194.34 = 57,855/x
  3. Step 3: Cross multiply
    142,048.02x = 213,194.34 × 57,855
  4. Step 4: Simplify right side
    142,048.02x = 12,334,358,540.70
  5. Step 5: Solve for x
    x = 12,334,358,540.70/142,048.02
  6. Step 6: Final answer
    x = 86,832.32

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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.