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Finding the Fourth Proportional to 357,938.39, 536,907.74 and 105,218.90

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Solution

The fourth proportional to 357,938.39, 536,907.74 and 105,218.90 is: 157,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,938.39 : 536,907.74 = 105,218.90 : x
  2. Step 2: Convert to fraction form
    357,938.39/536,907.74 = 105,218.90/x
  3. Step 3: Cross multiply
    357,938.39x = 536,907.74 × 105,218.90
  4. Step 4: Simplify right side
    357,938.39x = 56,492,841,198.91
  5. Step 5: Solve for x
    x = 56,492,841,198.91/357,938.39
  6. Step 6: Final answer
    x = 157,828.39

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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.