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Finding the Fourth Proportional to 205,242, 307,784.53 and 98,595.57

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Solution

The fourth proportional to 205,242, 307,784.53 and 98,595.57 is: 147,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,242 : 307,784.53 = 98,595.57 : x
  2. Step 2: Convert to fraction form
    205,242/307,784.53 = 98,595.57/x
  3. Step 3: Cross multiply
    205,242x = 307,784.53 × 98,595.57
  4. Step 4: Simplify right side
    205,242x = 30,346,191,172.53
  5. Step 5: Solve for x
    x = 30,346,191,172.53/205,242
  6. Step 6: Final answer
    x = 147,855.66

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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.