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Finding the Fourth Proportional to 117,130.76, 175,512.16 and 90,541.90

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Solution

The fourth proportional to 117,130.76, 175,512.16 and 90,541.90 is: 135,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,130.76 : 175,512.16 = 90,541.90 : x
  2. Step 2: Convert to fraction form
    117,130.76/175,512.16 = 90,541.90/x
  3. Step 3: Cross multiply
    117,130.76x = 175,512.16 × 90,541.90
  4. Step 4: Simplify right side
    117,130.76x = 15,891,203,109.23
  5. Step 5: Solve for x
    x = 15,891,203,109.23/117,130.76
  6. Step 6: Final answer
    x = 135,670.63

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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.