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Finding the Fourth Proportional to 130,977, 180,748.26 and 71,361

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Solution

The fourth proportional to 130,977, 180,748.26 and 71,361 is: 98,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,977 : 180,748.26 = 71,361 : x
  2. Step 2: Convert to fraction form
    130,977/180,748.26 = 71,361/x
  3. Step 3: Cross multiply
    130,977x = 180,748.26 × 71,361
  4. Step 4: Simplify right side
    130,977x = 12,898,376,581.86
  5. Step 5: Solve for x
    x = 12,898,376,581.86/130,977
  6. Step 6: Final answer
    x = 98,478.18

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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.