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Finding the Fourth Proportional to 120,705.54, 181,055.22 and 57,570.30

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Solution

The fourth proportional to 120,705.54, 181,055.22 and 57,570.30 is: 86,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,705.54 : 181,055.22 = 57,570.30 : x
  2. Step 2: Convert to fraction form
    120,705.54/181,055.22 = 57,570.30/x
  3. Step 3: Cross multiply
    120,705.54x = 181,055.22 × 57,570.30
  4. Step 4: Simplify right side
    120,705.54x = 10,423,403,331.97
  5. Step 5: Solve for x
    x = 10,423,403,331.97/120,705.54
  6. Step 6: Final answer
    x = 86,353.98

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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.