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Finding the Fourth Proportional to 131,814, 181,903.20 and 71,384.64

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Solution

The fourth proportional to 131,814, 181,903.20 and 71,384.64 is: 98,510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,814 : 181,903.20 = 71,384.64 : x
  2. Step 2: Convert to fraction form
    131,814/181,903.20 = 71,384.64/x
  3. Step 3: Cross multiply
    131,814x = 181,903.20 × 71,384.64
  4. Step 4: Simplify right side
    131,814x = 12,985,094,446.85
  5. Step 5: Solve for x
    x = 12,985,094,446.85/131,814
  6. Step 6: Final answer
    x = 98,510.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.