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Finding the Fourth Proportional to 172,348.37, 258,383.10 and 77,509.10

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Solution

The fourth proportional to 172,348.37, 258,383.10 and 77,509.10 is: 116,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,348.37 : 258,383.10 = 77,509.10 : x
  2. Step 2: Convert to fraction form
    172,348.37/258,383.10 = 77,509.10/x
  3. Step 3: Cross multiply
    172,348.37x = 258,383.10 × 77,509.10
  4. Step 4: Simplify right side
    172,348.37x = 20,027,041,536.21
  5. Step 5: Solve for x
    x = 20,027,041,536.21/172,348.37
  6. Step 6: Final answer
    x = 116,200.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.