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Finding the Fourth Proportional to 125,345.72, 172,984.74 and 82,830.44

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Solution

The fourth proportional to 125,345.72, 172,984.74 and 82,830.44 is: 114,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,345.72 : 172,984.74 = 82,830.44 : x
  2. Step 2: Convert to fraction form
    125,345.72/172,984.74 = 82,830.44/x
  3. Step 3: Cross multiply
    125,345.72x = 172,984.74 × 82,830.44
  4. Step 4: Simplify right side
    125,345.72x = 14,328,402,127.49
  5. Step 5: Solve for x
    x = 14,328,402,127.49/125,345.72
  6. Step 6: Final answer
    x = 114,311.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.