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Finding the Fourth Proportional to 78,581.61, 108,442.60 and 42,771.86

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Solution

The fourth proportional to 78,581.61, 108,442.60 and 42,771.86 is: 59,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,581.61 : 108,442.60 = 42,771.86 : x
  2. Step 2: Convert to fraction form
    78,581.61/108,442.60 = 42,771.86/x
  3. Step 3: Cross multiply
    78,581.61x = 108,442.60 × 42,771.86
  4. Step 4: Simplify right side
    78,581.61x = 4,638,291,491.38
  5. Step 5: Solve for x
    x = 4,638,291,491.38/78,581.61
  6. Step 6: Final answer
    x = 59,025.16

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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.