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Finding the Fourth Proportional to 78,681.85, 108,580.96 and 42,871.86

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Solution

The fourth proportional to 78,681.85, 108,580.96 and 42,871.86 is: 59,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,681.85 : 108,580.96 = 42,871.86 : x
  2. Step 2: Convert to fraction form
    78,681.85/108,580.96 = 42,871.86/x
  3. Step 3: Cross multiply
    78,681.85x = 108,580.96 × 42,871.86
  4. Step 4: Simplify right side
    78,681.85x = 4,655,066,958.52
  5. Step 5: Solve for x
    x = 4,655,066,958.52/78,681.85
  6. Step 6: Final answer
    x = 59,163.16

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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.