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Finding the Fourth Proportional to 105,696.32, 145,862.35 and 57,949.56

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Solution

The fourth proportional to 105,696.32, 145,862.35 and 57,949.56 is: 79,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,696.32 : 145,862.35 = 57,949.56 : x
  2. Step 2: Convert to fraction form
    105,696.32/145,862.35 = 57,949.56/x
  3. Step 3: Cross multiply
    105,696.32x = 145,862.35 × 57,949.56
  4. Step 4: Simplify right side
    105,696.32x = 8,452,658,858.19
  5. Step 5: Solve for x
    x = 8,452,658,858.19/105,696.32
  6. Step 6: Final answer
    x = 79,971.18

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1.5x scale

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.