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Finding the Fourth Proportional to 207,534.60, 311,301.90 and 102,339.90

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Solution

The fourth proportional to 207,534.60, 311,301.90 and 102,339.90 is: 153,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,534.60 : 311,301.90 = 102,339.90 : x
  2. Step 2: Convert to fraction form
    207,534.60/311,301.90 = 102,339.90/x
  3. Step 3: Cross multiply
    207,534.60x = 311,301.90 × 102,339.90
  4. Step 4: Simplify right side
    207,534.60x = 31,858,605,315.81
  5. Step 5: Solve for x
    x = 31,858,605,315.81/207,534.60
  6. Step 6: Final answer
    x = 153,509.85

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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.