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Finding the Fourth Proportional to 153,977.80, 230,934.30 and 65,234.20

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Solution

The fourth proportional to 153,977.80, 230,934.30 and 65,234.20 is: 97,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,977.80 : 230,934.30 = 65,234.20 : x
  2. Step 2: Convert to fraction form
    153,977.80/230,934.30 = 65,234.20/x
  3. Step 3: Cross multiply
    153,977.80x = 230,934.30 × 65,234.20
  4. Step 4: Simplify right side
    153,977.80x = 15,064,814,313.06
  5. Step 5: Solve for x
    x = 15,064,814,313.06/153,977.80
  6. Step 6: Final answer
    x = 97,837.57

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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.