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Finding the Fourth Proportional to 114,742.80, 172,162.80 and 72,655.20

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Solution

The fourth proportional to 114,742.80, 172,162.80 and 72,655.20 is: 109,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,742.80 : 172,162.80 = 72,655.20 : x
  2. Step 2: Convert to fraction form
    114,742.80/172,162.80 = 72,655.20/x
  3. Step 3: Cross multiply
    114,742.80x = 172,162.80 × 72,655.20
  4. Step 4: Simplify right side
    114,742.80x = 12,508,522,666.56
  5. Step 5: Solve for x
    x = 12,508,522,666.56/114,742.80
  6. Step 6: Final answer
    x = 109,013.57

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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.