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Finding the Fourth Proportional to 172,267.86, 237,742.95 and 103,359.90

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Solution

The fourth proportional to 172,267.86, 237,742.95 and 103,359.90 is: 142,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,267.86 : 237,742.95 = 103,359.90 : x
  2. Step 2: Convert to fraction form
    172,267.86/237,742.95 = 103,359.90/x
  3. Step 3: Cross multiply
    172,267.86x = 237,742.95 × 103,359.90
  4. Step 4: Simplify right side
    172,267.86x = 24,573,087,537.71
  5. Step 5: Solve for x
    x = 24,573,087,537.71/172,267.86
  6. Step 6: Final answer
    x = 142,644.64

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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.