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Finding the Fourth Proportional to 100,303.76, 138,420.88 and 54,980.80

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Solution

The fourth proportional to 100,303.76, 138,420.88 and 54,980.80 is: 75,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,303.76 : 138,420.88 = 54,980.80 : x
  2. Step 2: Convert to fraction form
    100,303.76/138,420.88 = 54,980.80/x
  3. Step 3: Cross multiply
    100,303.76x = 138,420.88 × 54,980.80
  4. Step 4: Simplify right side
    100,303.76x = 7,610,490,719.10
  5. Step 5: Solve for x
    x = 7,610,490,719.10/100,303.76
  6. Step 6: Final answer
    x = 75,874.43

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1.5x scale

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.