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Finding the Fourth Proportional to 78,884.68, 109,595.74 and 77,938.82

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Solution

The fourth proportional to 78,884.68, 109,595.74 and 77,938.82 is: 108,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,884.68 : 109,595.74 = 77,938.82 : x
  2. Step 2: Convert to fraction form
    78,884.68/109,595.74 = 77,938.82/x
  3. Step 3: Cross multiply
    78,884.68x = 109,595.74 × 77,938.82
  4. Step 4: Simplify right side
    78,884.68x = 8,541,762,771.34
  5. Step 5: Solve for x
    x = 8,541,762,771.34/78,884.68
  6. Step 6: Final answer
    x = 108,281.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.