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Finding the Fourth Proportional to 51,402.88, 70,968.64 and 39,443.52

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Solution

The fourth proportional to 51,402.88, 70,968.64 and 39,443.52 is: 54,457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402.88 : 70,968.64 = 39,443.52 : x
  2. Step 2: Convert to fraction form
    51,402.88/70,968.64 = 39,443.52/x
  3. Step 3: Cross multiply
    51,402.88x = 70,968.64 × 39,443.52
  4. Step 4: Simplify right side
    51,402.88x = 2,799,252,971.21
  5. Step 5: Solve for x
    x = 2,799,252,971.21/51,402.88
  6. Step 6: Final answer
    x = 54,457.12

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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.