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Finding the Fourth Proportional to 130,898, 180,641.16 and 71,282

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Solution

The fourth proportional to 130,898, 180,641.16 and 71,282 is: 98,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,898 : 180,641.16 = 71,282 : x
  2. Step 2: Convert to fraction form
    130,898/180,641.16 = 71,282/x
  3. Step 3: Cross multiply
    130,898x = 180,641.16 × 71,282
  4. Step 4: Simplify right side
    130,898x = 12,876,463,167.12
  5. Step 5: Solve for x
    x = 12,876,463,167.12/130,898
  6. Step 6: Final answer
    x = 98,370.21

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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.