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Finding the Fourth Proportional to 72,828.61, 100,506.17 and 40,564.42

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Solution

The fourth proportional to 72,828.61, 100,506.17 and 40,564.42 is: 55,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,828.61 : 100,506.17 = 40,564.42 : x
  2. Step 2: Convert to fraction form
    72,828.61/100,506.17 = 40,564.42/x
  3. Step 3: Cross multiply
    72,828.61x = 100,506.17 × 40,564.42
  4. Step 4: Simplify right side
    72,828.61x = 4,076,974,492.47
  5. Step 5: Solve for x
    x = 4,076,974,492.47/72,828.61
  6. Step 6: Final answer
    x = 55,980.40

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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.