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Finding the Fourth Proportional to 78,593.16, 117,878.04 and 28,661.52

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Solution

The fourth proportional to 78,593.16, 117,878.04 and 28,661.52 is: 42,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,593.16 : 117,878.04 = 28,661.52 : x
  2. Step 2: Convert to fraction form
    78,593.16/117,878.04 = 28,661.52/x
  3. Step 3: Cross multiply
    78,593.16x = 117,878.04 × 28,661.52
  4. Step 4: Simplify right side
    78,593.16x = 3,378,563,801.02
  5. Step 5: Solve for x
    x = 3,378,563,801.02/78,593.16
  6. Step 6: Final answer
    x = 42,988.01

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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.