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Finding the Fourth Proportional to 78,433.74, 117,619.47 and 28,486.59

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Solution

The fourth proportional to 78,433.74, 117,619.47 and 28,486.59 is: 42,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,433.74 : 117,619.47 = 28,486.59 : x
  2. Step 2: Convert to fraction form
    78,433.74/117,619.47 = 28,486.59/x
  3. Step 3: Cross multiply
    78,433.74x = 117,619.47 × 28,486.59
  4. Step 4: Simplify right side
    78,433.74x = 3,350,577,617.91
  5. Step 5: Solve for x
    x = 3,350,577,617.91/78,433.74
  6. Step 6: Final answer
    x = 42,718.58

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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.