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Finding the Fourth Proportional to 51,710.40, 77,567.76 and 30,888

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Solution

The fourth proportional to 51,710.40, 77,567.76 and 30,888 is: 46,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,710.40 : 77,567.76 = 30,888 : x
  2. Step 2: Convert to fraction form
    51,710.40/77,567.76 = 30,888/x
  3. Step 3: Cross multiply
    51,710.40x = 77,567.76 × 30,888
  4. Step 4: Simplify right side
    51,710.40x = 2,395,912,970.88
  5. Step 5: Solve for x
    x = 2,395,912,970.88/51,710.40
  6. Step 6: Final answer
    x = 46,333.29

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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.