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Finding the Fourth Proportional to 172,439.13, 258,655.71 and 77,602.21

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Solution

The fourth proportional to 172,439.13, 258,655.71 and 77,602.21 is: 116,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,439.13 : 258,655.71 = 77,602.21 : x
  2. Step 2: Convert to fraction form
    172,439.13/258,655.71 = 77,602.21/x
  3. Step 3: Cross multiply
    172,439.13x = 258,655.71 × 77,602.21
  4. Step 4: Simplify right side
    172,439.13x = 20,072,254,369.49
  5. Step 5: Solve for x
    x = 20,072,254,369.49/172,439.13
  6. Step 6: Final answer
    x = 116,401.97

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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.