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Finding the Fourth Proportional to 180,254.94, 270,421.20 and 53,905.20

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Solution

The fourth proportional to 180,254.94, 270,421.20 and 53,905.20 is: 80,869.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,254.94 : 270,421.20 = 53,905.20 : x
  2. Step 2: Convert to fraction form
    180,254.94/270,421.20 = 53,905.20/x
  3. Step 3: Cross multiply
    180,254.94x = 270,421.20 × 53,905.20
  4. Step 4: Simplify right side
    180,254.94x = 14,577,108,870.24
  5. Step 5: Solve for x
    x = 14,577,108,870.24/180,254.94
  6. Step 6: Final answer
    x = 80,869.40

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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.