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Finding the Fourth Proportional to 105,489.95, 145,570.52 and 57,734.06

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Solution

The fourth proportional to 105,489.95, 145,570.52 and 57,734.06 is: 79,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,489.95 : 145,570.52 = 57,734.06 : x
  2. Step 2: Convert to fraction form
    105,489.95/145,570.52 = 57,734.06/x
  3. Step 3: Cross multiply
    105,489.95x = 145,570.52 × 57,734.06
  4. Step 4: Simplify right side
    105,489.95x = 8,404,376,119.39
  5. Step 5: Solve for x
    x = 8,404,376,119.39/105,489.95
  6. Step 6: Final answer
    x = 79,669.93

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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.