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Finding the Fourth Proportional to 77,991.60, 116,929.80 and 31,220.40

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Solution

The fourth proportional to 77,991.60, 116,929.80 and 31,220.40 is: 46,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,991.60 : 116,929.80 = 31,220.40 : x
  2. Step 2: Convert to fraction form
    77,991.60/116,929.80 = 31,220.40/x
  3. Step 3: Cross multiply
    77,991.60x = 116,929.80 × 31,220.40
  4. Step 4: Simplify right side
    77,991.60x = 3,650,595,127.92
  5. Step 5: Solve for x
    x = 3,650,595,127.92/77,991.60
  6. Step 6: Final answer
    x = 46,807.54

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1.5x scale

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.