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Finding the Fourth Proportional to 123,689.75, 185,419.19 and 48,810.51

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Solution

The fourth proportional to 123,689.75, 185,419.19 and 48,810.51 is: 73,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,689.75 : 185,419.19 = 48,810.51 : x
  2. Step 2: Convert to fraction form
    123,689.75/185,419.19 = 48,810.51/x
  3. Step 3: Cross multiply
    123,689.75x = 185,419.19 × 48,810.51
  4. Step 4: Simplify right side
    123,689.75x = 9,050,405,349.71
  5. Step 5: Solve for x
    x = 9,050,405,349.71/123,689.75
  6. Step 6: Final answer
    x = 73,170.22

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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.