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Finding the Fourth Proportional to 78,577.68, 108,428.32 and 46,310.20

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Solution

The fourth proportional to 78,577.68, 108,428.32 and 46,310.20 is: 63,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,577.68 : 108,428.32 = 46,310.20 : x
  2. Step 2: Convert to fraction form
    78,577.68/108,428.32 = 46,310.20/x
  3. Step 3: Cross multiply
    78,577.68x = 108,428.32 × 46,310.20
  4. Step 4: Simplify right side
    78,577.68x = 5,021,337,184.86
  5. Step 5: Solve for x
    x = 5,021,337,184.86/78,577.68
  6. Step 6: Final answer
    x = 63,902.84

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1.5x scale

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.