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Finding the Fourth Proportional to 120,030.78, 180,055.34 and 35,784.48

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Solution

The fourth proportional to 120,030.78, 180,055.34 and 35,784.48 is: 53,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,030.78 : 180,055.34 = 35,784.48 : x
  2. Step 2: Convert to fraction form
    120,030.78/180,055.34 = 35,784.48/x
  3. Step 3: Cross multiply
    120,030.78x = 180,055.34 × 35,784.48
  4. Step 4: Simplify right side
    120,030.78x = 6,443,186,713.12
  5. Step 5: Solve for x
    x = 6,443,186,713.12/120,030.78
  6. Step 6: Final answer
    x = 53,679.45

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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.