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Finding the Fourth Proportional to 100,918.25, 139,267.19 and 56,206.25

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Solution

The fourth proportional to 100,918.25, 139,267.19 and 56,206.25 is: 77,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,918.25 : 139,267.19 = 56,206.25 : x
  2. Step 2: Convert to fraction form
    100,918.25/139,267.19 = 56,206.25/x
  3. Step 3: Cross multiply
    100,918.25x = 139,267.19 × 56,206.25
  4. Step 4: Simplify right side
    100,918.25x = 7,827,686,497.94
  5. Step 5: Solve for x
    x = 7,827,686,497.94/100,918.25
  6. Step 6: Final answer
    x = 77,564.63

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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.