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Finding the Fourth Proportional to 130,953, 180,715.14 and 71,337

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Solution

The fourth proportional to 130,953, 180,715.14 and 71,337 is: 98,445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,953 : 180,715.14 = 71,337 : x
  2. Step 2: Convert to fraction form
    130,953/180,715.14 = 71,337/x
  3. Step 3: Cross multiply
    130,953x = 180,715.14 × 71,337
  4. Step 4: Simplify right side
    130,953x = 12,891,675,942.18
  5. Step 5: Solve for x
    x = 12,891,675,942.18/130,953
  6. Step 6: Final answer
    x = 98,445.06

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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.