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Finding the Fourth Proportional to 212,242, 317,577.72 and 128,050.96

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Solution

The fourth proportional to 212,242, 317,577.72 and 128,050.96 is: 191,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,242 : 317,577.72 = 128,050.96 : x
  2. Step 2: Convert to fraction form
    212,242/317,577.72 = 128,050.96/x
  3. Step 3: Cross multiply
    212,242x = 317,577.72 × 128,050.96
  4. Step 4: Simplify right side
    212,242x = 40,666,131,920.61
  5. Step 5: Solve for x
    x = 40,666,131,920.61/212,242
  6. Step 6: Final answer
    x = 191,602.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.