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Finding the Fourth Proportional to 77,911.66, 116,801.88 and 31,139.02

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Solution

The fourth proportional to 77,911.66, 116,801.88 and 31,139.02 is: 46,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,911.66 : 116,801.88 = 31,139.02 : x
  2. Step 2: Convert to fraction form
    77,911.66/116,801.88 = 31,139.02/x
  3. Step 3: Cross multiply
    77,911.66x = 116,801.88 × 31,139.02
  4. Step 4: Simplify right side
    77,911.66x = 3,637,096,077.36
  5. Step 5: Solve for x
    x = 3,637,096,077.36/77,911.66
  6. Step 6: Final answer
    x = 46,682.31

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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.