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Finding the Fourth Proportional to 100,894, 139,238.04 and 56,182

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Solution

The fourth proportional to 100,894, 139,238.04 and 56,182 is: 77,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,894 : 139,238.04 = 56,182 : x
  2. Step 2: Convert to fraction form
    100,894/139,238.04 = 56,182/x
  3. Step 3: Cross multiply
    100,894x = 139,238.04 × 56,182
  4. Step 4: Simplify right side
    100,894x = 7,822,671,563.28
  5. Step 5: Solve for x
    x = 7,822,671,563.28/100,894
  6. Step 6: Final answer
    x = 77,533.57

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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.