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Finding the Fourth Proportional to 136,952.30, 205,428.45 and 43,457.90

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Solution

The fourth proportional to 136,952.30, 205,428.45 and 43,457.90 is: 65,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,952.30 : 205,428.45 = 43,457.90 : x
  2. Step 2: Convert to fraction form
    136,952.30/205,428.45 = 43,457.90/x
  3. Step 3: Cross multiply
    136,952.30x = 205,428.45 × 43,457.90
  4. Step 4: Simplify right side
    136,952.30x = 8,927,489,037.26
  5. Step 5: Solve for x
    x = 8,927,489,037.26/136,952.30
  6. Step 6: Final answer
    x = 65,186.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.