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Finding the Fourth Proportional to 105,690.68, 145,862.33 and 57,953.33

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Solution

The fourth proportional to 105,690.68, 145,862.33 and 57,953.33 is: 79,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,690.68 : 145,862.33 = 57,953.33 : x
  2. Step 2: Convert to fraction form
    105,690.68/145,862.33 = 57,953.33/x
  3. Step 3: Cross multiply
    105,690.68x = 145,862.33 × 57,953.33
  4. Step 4: Simplify right side
    105,690.68x = 8,453,207,745.06
  5. Step 5: Solve for x
    x = 8,453,207,745.06/105,690.68
  6. Step 6: Final answer
    x = 79,980.64

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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.