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Finding the Fourth Proportional to 120,607.33, 180,885.60 and 77,784.49

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Solution

The fourth proportional to 120,607.33, 180,885.60 and 77,784.49 is: 116,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,607.33 : 180,885.60 = 77,784.49 : x
  2. Step 2: Convert to fraction form
    120,607.33/180,885.60 = 77,784.49/x
  3. Step 3: Cross multiply
    120,607.33x = 180,885.60 × 77,784.49
  4. Step 4: Simplify right side
    120,607.33x = 14,070,094,144.34
  5. Step 5: Solve for x
    x = 14,070,094,144.34/120,607.33
  6. Step 6: Final answer
    x = 116,660.36

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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.