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Finding the Fourth Proportional to 130,584, 180,205.92 and 77,592

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Solution

The fourth proportional to 130,584, 180,205.92 and 77,592 is: 107,076.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,584 : 180,205.92 = 77,592 : x
  2. Step 2: Convert to fraction form
    130,584/180,205.92 = 77,592/x
  3. Step 3: Cross multiply
    130,584x = 180,205.92 × 77,592
  4. Step 4: Simplify right side
    130,584x = 13,982,537,744.64
  5. Step 5: Solve for x
    x = 13,982,537,744.64/130,584
  6. Step 6: Final answer
    x = 107,076.96

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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.