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Finding the Fourth Proportional to 77,877.60, 116,643.60 and 31,106.40

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Solution

The fourth proportional to 77,877.60, 116,643.60 and 31,106.40 is: 46,590.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,877.60 : 116,643.60 = 31,106.40 : x
  2. Step 2: Convert to fraction form
    77,877.60/116,643.60 = 31,106.40/x
  3. Step 3: Cross multiply
    77,877.60x = 116,643.60 × 31,106.40
  4. Step 4: Simplify right side
    77,877.60x = 3,628,362,479.04
  5. Step 5: Solve for x
    x = 3,628,362,479.04/77,877.60
  6. Step 6: Final answer
    x = 46,590.58

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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.