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Finding the Fourth Proportional to 51,722.40, 77,468.40 and 42,506.40

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Solution

The fourth proportional to 51,722.40, 77,468.40 and 42,506.40 is: 63,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,722.40 : 77,468.40 = 42,506.40 : x
  2. Step 2: Convert to fraction form
    51,722.40/77,468.40 = 42,506.40/x
  3. Step 3: Cross multiply
    51,722.40x = 77,468.40 × 42,506.40
  4. Step 4: Simplify right side
    51,722.40x = 3,292,902,797.76
  5. Step 5: Solve for x
    x = 3,292,902,797.76/51,722.40
  6. Step 6: Final answer
    x = 63,664.93

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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.