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Finding the Fourth Proportional to 77,415.74, 116,102.51 and 21,242.53

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Solution

The fourth proportional to 77,415.74, 116,102.51 and 21,242.53 is: 31,858.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,415.74 : 116,102.51 = 21,242.53 : x
  2. Step 2: Convert to fraction form
    77,415.74/116,102.51 = 21,242.53/x
  3. Step 3: Cross multiply
    77,415.74x = 116,102.51 × 21,242.53
  4. Step 4: Simplify right side
    77,415.74x = 2,466,310,963.28
  5. Step 5: Solve for x
    x = 2,466,310,963.28/77,415.74
  6. Step 6: Final answer
    x = 31,858.01

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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.