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Finding the Fourth Proportional to 243,537.90, 365,364.45 and 77,325.90

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Solution

The fourth proportional to 243,537.90, 365,364.45 and 77,325.90 is: 116,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,537.90 : 365,364.45 = 77,325.90 : x
  2. Step 2: Convert to fraction form
    243,537.90/365,364.45 = 77,325.90/x
  3. Step 3: Cross multiply
    243,537.90x = 365,364.45 × 77,325.90
  4. Step 4: Simplify right side
    243,537.90x = 28,252,134,924.26
  5. Step 5: Solve for x
    x = 28,252,134,924.26/243,537.90
  6. Step 6: Final answer
    x = 116,007.14

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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.