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Finding the Fourth Proportional to 51,357.71, 77,030.46 and 13,915.46

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Solution

The fourth proportional to 51,357.71, 77,030.46 and 13,915.46 is: 20,871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,357.71 : 77,030.46 = 13,915.46 : x
  2. Step 2: Convert to fraction form
    51,357.71/77,030.46 = 13,915.46/x
  3. Step 3: Cross multiply
    51,357.71x = 77,030.46 × 13,915.46
  4. Step 4: Simplify right side
    51,357.71x = 1,071,914,477.49
  5. Step 5: Solve for x
    x = 1,071,914,477.49/51,357.71
  6. Step 6: Final answer
    x = 20,871.54

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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.