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Finding the Fourth Proportional to 105,726.68, 145,903.02 and 57,980.38

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Solution

The fourth proportional to 105,726.68, 145,903.02 and 57,980.38 is: 80,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,726.68 : 145,903.02 = 57,980.38 : x
  2. Step 2: Convert to fraction form
    105,726.68/145,903.02 = 57,980.38/x
  3. Step 3: Cross multiply
    105,726.68x = 145,903.02 × 57,980.38
  4. Step 4: Simplify right side
    105,726.68x = 8,459,512,542.75
  5. Step 5: Solve for x
    x = 8,459,512,542.75/105,726.68
  6. Step 6: Final answer
    x = 80,013.03

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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.