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Finding the Fourth Proportional to 78,445.92, 117,666 and 19,281.76

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Solution

The fourth proportional to 78,445.92, 117,666 and 19,281.76 is: 28,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,445.92 : 117,666 = 19,281.76 : x
  2. Step 2: Convert to fraction form
    78,445.92/117,666 = 19,281.76/x
  3. Step 3: Cross multiply
    78,445.92x = 117,666 × 19,281.76
  4. Step 4: Simplify right side
    78,445.92x = 2,268,807,572.16
  5. Step 5: Solve for x
    x = 2,268,807,572.16/78,445.92
  6. Step 6: Final answer
    x = 28,921.93

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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.