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Finding the Fourth Proportional to 172,438.70, 258,582.63 and 86,996.98

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Solution

The fourth proportional to 172,438.70, 258,582.63 and 86,996.98 is: 130,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,438.70 : 258,582.63 = 86,996.98 : x
  2. Step 2: Convert to fraction form
    172,438.70/258,582.63 = 86,996.98/x
  3. Step 3: Cross multiply
    172,438.70x = 258,582.63 × 86,996.98
  4. Step 4: Simplify right side
    172,438.70x = 22,495,908,539.92
  5. Step 5: Solve for x
    x = 22,495,908,539.92/172,438.70
  6. Step 6: Final answer
    x = 130,457.43

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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.