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Finding the Fourth Proportional to 51,703.47, 77,489.01 and 45,012.69

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Solution

The fourth proportional to 51,703.47, 77,489.01 and 45,012.69 is: 67,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,703.47 : 77,489.01 = 45,012.69 : x
  2. Step 2: Convert to fraction form
    51,703.47/77,489.01 = 45,012.69/x
  3. Step 3: Cross multiply
    51,703.47x = 77,489.01 × 45,012.69
  4. Step 4: Simplify right side
    51,703.47x = 3,487,988,785.54
  5. Step 5: Solve for x
    x = 3,487,988,785.54/51,703.47
  6. Step 6: Final answer
    x = 67,461.41

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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.