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Finding the Fourth Proportional to 77,465.25, 106,902.05 and 43,931.25

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Solution

The fourth proportional to 77,465.25, 106,902.05 and 43,931.25 is: 60,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,465.25 : 106,902.05 = 43,931.25 : x
  2. Step 2: Convert to fraction form
    77,465.25/106,902.05 = 43,931.25/x
  3. Step 3: Cross multiply
    77,465.25x = 106,902.05 × 43,931.25
  4. Step 4: Simplify right side
    77,465.25x = 4,696,340,464.41
  5. Step 5: Solve for x
    x = 4,696,340,464.41/77,465.25
  6. Step 6: Final answer
    x = 60,625.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.