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Finding the Fourth Proportional to 130,833, 180,549.54 and 71,217

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Solution

The fourth proportional to 130,833, 180,549.54 and 71,217 is: 98,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,833 : 180,549.54 = 71,217 : x
  2. Step 2: Convert to fraction form
    130,833/180,549.54 = 71,217/x
  3. Step 3: Cross multiply
    130,833x = 180,549.54 × 71,217
  4. Step 4: Simplify right side
    130,833x = 12,858,196,590.18
  5. Step 5: Solve for x
    x = 12,858,196,590.18/130,833
  6. Step 6: Final answer
    x = 98,279.46

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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.