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Finding the Fourth Proportional to 100,875, 139,211.82 and 56,163

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Solution

The fourth proportional to 100,875, 139,211.82 and 56,163 is: 77,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,875 : 139,211.82 = 56,163 : x
  2. Step 2: Convert to fraction form
    100,875/139,211.82 = 56,163/x
  3. Step 3: Cross multiply
    100,875x = 139,211.82 × 56,163
  4. Step 4: Simplify right side
    100,875x = 7,818,553,446.66
  5. Step 5: Solve for x
    x = 7,818,553,446.66/100,875
  6. Step 6: Final answer
    x = 77,507.35

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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.