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Finding the Fourth Proportional to 172,051.86, 257,972.94 and 77,263.62

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Solution

The fourth proportional to 172,051.86, 257,972.94 and 77,263.62 is: 115,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,051.86 : 257,972.94 = 77,263.62 : x
  2. Step 2: Convert to fraction form
    172,051.86/257,972.94 = 77,263.62/x
  3. Step 3: Cross multiply
    172,051.86x = 257,972.94 × 77,263.62
  4. Step 4: Simplify right side
    172,051.86x = 19,931,923,206.44
  5. Step 5: Solve for x
    x = 19,931,923,206.44/172,051.86
  6. Step 6: Final answer
    x = 115,848.34

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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.