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Finding the Fourth Proportional to 105,732.96, 145,918.14 and 69,860.07

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Solution

The fourth proportional to 105,732.96, 145,918.14 and 69,860.07 is: 96,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,732.96 : 145,918.14 = 69,860.07 : x
  2. Step 2: Convert to fraction form
    105,732.96/145,918.14 = 69,860.07/x
  3. Step 3: Cross multiply
    105,732.96x = 145,918.14 × 69,860.07
  4. Step 4: Simplify right side
    105,732.96x = 10,193,851,474.67
  5. Step 5: Solve for x
    x = 10,193,851,474.67/105,732.96
  6. Step 6: Final answer
    x = 96,411.29

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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.