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Finding the Fourth Proportional to 49,752, 74,632.32 and 12,816

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Solution

The fourth proportional to 49,752, 74,632.32 and 12,816 is: 19,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,752 : 74,632.32 = 12,816 : x
  2. Step 2: Convert to fraction form
    49,752/74,632.32 = 12,816/x
  3. Step 3: Cross multiply
    49,752x = 74,632.32 × 12,816
  4. Step 4: Simplify right side
    49,752x = 956,487,813.12
  5. Step 5: Solve for x
    x = 956,487,813.12/49,752
  6. Step 6: Final answer
    x = 19,225.11

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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.