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Finding the Fourth Proportional to 100,752.49, 139,038.44 and 55,429.50

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Solution

The fourth proportional to 100,752.49, 139,038.44 and 55,429.50 is: 76,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,752.49 : 139,038.44 = 55,429.50 : x
  2. Step 2: Convert to fraction form
    100,752.49/139,038.44 = 55,429.50/x
  3. Step 3: Cross multiply
    100,752.49x = 139,038.44 × 55,429.50
  4. Step 4: Simplify right side
    100,752.49x = 7,706,830,932.83
  5. Step 5: Solve for x
    x = 7,706,830,932.83/100,752.49
  6. Step 6: Final answer
    x = 76,492.71

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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.