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Finding the Fourth Proportional to 202,389, 303,598.08 and 77,730

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Solution

The fourth proportional to 202,389, 303,598.08 and 77,730 is: 116,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,389 : 303,598.08 = 77,730 : x
  2. Step 2: Convert to fraction form
    202,389/303,598.08 = 77,730/x
  3. Step 3: Cross multiply
    202,389x = 303,598.08 × 77,730
  4. Step 4: Simplify right side
    202,389x = 23,598,678,758.40
  5. Step 5: Solve for x
    x = 23,598,678,758.40/202,389
  6. Step 6: Final answer
    x = 116,600.60

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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.