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Finding the Fourth Proportional to 100,742.69, 139,020.53 and 55,417.80

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Solution

The fourth proportional to 100,742.69, 139,020.53 and 55,417.80 is: 76,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,742.69 : 139,020.53 = 55,417.80 : x
  2. Step 2: Convert to fraction form
    100,742.69/139,020.53 = 55,417.80/x
  3. Step 3: Cross multiply
    100,742.69x = 139,020.53 × 55,417.80
  4. Step 4: Simplify right side
    100,742.69x = 7,704,211,962.07
  5. Step 5: Solve for x
    x = 7,704,211,962.07/100,742.69
  6. Step 6: Final answer
    x = 76,474.15

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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.