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Finding the Fourth Proportional to 123,820.93, 185,758.07 and 38,430.01

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Solution

The fourth proportional to 123,820.93, 185,758.07 and 38,430.01 is: 57,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,820.93 : 185,758.07 = 38,430.01 : x
  2. Step 2: Convert to fraction form
    123,820.93/185,758.07 = 38,430.01/x
  3. Step 3: Cross multiply
    123,820.93x = 185,758.07 × 38,430.01
  4. Step 4: Simplify right side
    123,820.93x = 7,138,684,295.53
  5. Step 5: Solve for x
    x = 7,138,684,295.53/123,820.93
  6. Step 6: Final answer
    x = 57,653.29

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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.