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Finding the Fourth Proportional to 78,530.56, 108,466.56 and 57,276.16

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Solution

The fourth proportional to 78,530.56, 108,466.56 and 57,276.16 is: 79,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,530.56 : 108,466.56 = 57,276.16 : x
  2. Step 2: Convert to fraction form
    78,530.56/108,466.56 = 57,276.16/x
  3. Step 3: Cross multiply
    78,530.56x = 108,466.56 × 57,276.16
  4. Step 4: Simplify right side
    78,530.56x = 6,212,548,045.21
  5. Step 5: Solve for x
    x = 6,212,548,045.21/78,530.56
  6. Step 6: Final answer
    x = 79,109.94

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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.