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Finding the Fourth Proportional to 41,312, 61,968.72 and 16,688

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Solution

The fourth proportional to 41,312, 61,968.72 and 16,688 is: 25,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,312 : 61,968.72 = 16,688 : x
  2. Step 2: Convert to fraction form
    41,312/61,968.72 = 16,688/x
  3. Step 3: Cross multiply
    41,312x = 61,968.72 × 16,688
  4. Step 4: Simplify right side
    41,312x = 1,034,133,999.36
  5. Step 5: Solve for x
    x = 1,034,133,999.36/41,312
  6. Step 6: Final answer
    x = 25,032.29

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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.