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Finding the Fourth Proportional to 84,551.64, 127,024.98 and 72,742.20

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Solution

The fourth proportional to 84,551.64, 127,024.98 and 72,742.20 is: 109,283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,551.64 : 127,024.98 = 72,742.20 : x
  2. Step 2: Convert to fraction form
    84,551.64/127,024.98 = 72,742.20/x
  3. Step 3: Cross multiply
    84,551.64x = 127,024.98 × 72,742.20
  4. Step 4: Simplify right side
    84,551.64x = 9,240,076,500.16
  5. Step 5: Solve for x
    x = 9,240,076,500.16/84,551.64
  6. Step 6: Final answer
    x = 109,283.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.