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Finding the Fourth Proportional to 172,345.76, 258,518.64 and 54,026.24

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Solution

The fourth proportional to 172,345.76, 258,518.64 and 54,026.24 is: 81,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,345.76 : 258,518.64 = 54,026.24 : x
  2. Step 2: Convert to fraction form
    172,345.76/258,518.64 = 54,026.24/x
  3. Step 3: Cross multiply
    172,345.76x = 258,518.64 × 54,026.24
  4. Step 4: Simplify right side
    172,345.76x = 13,966,790,089.11
  5. Step 5: Solve for x
    x = 13,966,790,089.11/172,345.76
  6. Step 6: Final answer
    x = 81,039.36

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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.