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Finding the Fourth Proportional to 100,918.50, 139,267.53 and 56,206.50

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Solution

The fourth proportional to 100,918.50, 139,267.53 and 56,206.50 is: 77,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,918.50 : 139,267.53 = 56,206.50 : x
  2. Step 2: Convert to fraction form
    100,918.50/139,267.53 = 56,206.50/x
  3. Step 3: Cross multiply
    100,918.50x = 139,267.53 × 56,206.50
  4. Step 4: Simplify right side
    100,918.50x = 7,827,740,424.95
  5. Step 5: Solve for x
    x = 7,827,740,424.95/100,918.50
  6. Step 6: Final answer
    x = 77,564.97

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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.