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Finding the Fourth Proportional to 243,364.50, 365,046.75 and 77,152.50

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Solution

The fourth proportional to 243,364.50, 365,046.75 and 77,152.50 is: 115,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,364.50 : 365,046.75 = 77,152.50 : x
  2. Step 2: Convert to fraction form
    243,364.50/365,046.75 = 77,152.50/x
  3. Step 3: Cross multiply
    243,364.50x = 365,046.75 × 77,152.50
  4. Step 4: Simplify right side
    243,364.50x = 28,164,269,379.38
  5. Step 5: Solve for x
    x = 28,164,269,379.38/243,364.50
  6. Step 6: Final answer
    x = 115,728.75

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1.5x scale

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.