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Finding the Fourth Proportional to 78,403.66, 117,012.96 and 70,836.86

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Solution

The fourth proportional to 78,403.66, 117,012.96 and 70,836.86 is: 105,719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,403.66 : 117,012.96 = 70,836.86 : x
  2. Step 2: Convert to fraction form
    78,403.66/117,012.96 = 70,836.86/x
  3. Step 3: Cross multiply
    78,403.66x = 117,012.96 × 70,836.86
  4. Step 4: Simplify right side
    78,403.66x = 8,288,830,080.64
  5. Step 5: Solve for x
    x = 8,288,830,080.64/78,403.66
  6. Step 6: Final answer
    x = 105,719.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.