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Finding the Fourth Proportional to 100,762.34, 139,052.68 and 55,443.20

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Solution

The fourth proportional to 100,762.34, 139,052.68 and 55,443.20 is: 76,511.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,762.34 : 139,052.68 = 55,443.20 : x
  2. Step 2: Convert to fraction form
    100,762.34/139,052.68 = 55,443.20/x
  3. Step 3: Cross multiply
    100,762.34x = 139,052.68 × 55,443.20
  4. Step 4: Simplify right side
    100,762.34x = 7,709,525,547.78
  5. Step 5: Solve for x
    x = 7,709,525,547.78/100,762.34
  6. Step 6: Final answer
    x = 76,511.97

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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.