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Finding the Fourth Proportional to 51,738, 71,398.53 and 29,382

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Solution

The fourth proportional to 51,738, 71,398.53 and 29,382 is: 40,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,738 : 71,398.53 = 29,382 : x
  2. Step 2: Convert to fraction form
    51,738/71,398.53 = 29,382/x
  3. Step 3: Cross multiply
    51,738x = 71,398.53 × 29,382
  4. Step 4: Simplify right side
    51,738x = 2,097,831,608.46
  5. Step 5: Solve for x
    x = 2,097,831,608.46/51,738
  6. Step 6: Final answer
    x = 40,547.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.