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Finding the Fourth Proportional to 212,590, 293,352.90 and 130,905.16

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Solution

The fourth proportional to 212,590, 293,352.90 and 130,905.16 is: 180,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,590 : 293,352.90 = 130,905.16 : x
  2. Step 2: Convert to fraction form
    212,590/293,352.90 = 130,905.16/x
  3. Step 3: Cross multiply
    212,590x = 293,352.90 × 130,905.16
  4. Step 4: Simplify right side
    212,590x = 38,401,408,310.96
  5. Step 5: Solve for x
    x = 38,401,408,310.96/212,590
  6. Step 6: Final answer
    x = 180,636.01

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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.