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Finding the Fourth Proportional to 53,051.76, 79,538.76 and 45,314.64

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Solution

The fourth proportional to 53,051.76, 79,538.76 and 45,314.64 is: 67,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,051.76 : 79,538.76 = 45,314.64 : x
  2. Step 2: Convert to fraction form
    53,051.76/79,538.76 = 45,314.64/x
  3. Step 3: Cross multiply
    53,051.76x = 79,538.76 × 45,314.64
  4. Step 4: Simplify right side
    53,051.76x = 3,604,270,275.45
  5. Step 5: Solve for x
    x = 3,604,270,275.45/53,051.76
  6. Step 6: Final answer
    x = 67,938.75

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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.