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Finding the Fourth Proportional to 105,457.96, 145,380.63 and 75,190.78

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Solution

The fourth proportional to 105,457.96, 145,380.63 and 75,190.78 is: 103,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,457.96 : 145,380.63 = 75,190.78 : x
  2. Step 2: Convert to fraction form
    105,457.96/145,380.63 = 75,190.78/x
  3. Step 3: Cross multiply
    105,457.96x = 145,380.63 × 75,190.78
  4. Step 4: Simplify right side
    105,457.96x = 10,931,282,966.59
  5. Step 5: Solve for x
    x = 10,931,282,966.59/105,457.96
  6. Step 6: Final answer
    x = 103,655.36

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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.