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Finding the Fourth Proportional to 120,497.64, 180,808.44 and 57,389.34

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Solution

The fourth proportional to 120,497.64, 180,808.44 and 57,389.34 is: 86,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,497.64 : 180,808.44 = 57,389.34 : x
  2. Step 2: Convert to fraction form
    120,497.64/180,808.44 = 57,389.34/x
  3. Step 3: Cross multiply
    120,497.64x = 180,808.44 × 57,389.34
  4. Step 4: Simplify right side
    120,497.64x = 10,376,477,038.03
  5. Step 5: Solve for x
    x = 10,376,477,038.03/120,497.64
  6. Step 6: Final answer
    x = 86,113.53

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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.