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Finding the Fourth Proportional to 78,550.83, 108,396.90 and 42,740.82

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Solution

The fourth proportional to 78,550.83, 108,396.90 and 42,740.82 is: 58,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,550.83 : 108,396.90 = 42,740.82 : x
  2. Step 2: Convert to fraction form
    78,550.83/108,396.90 = 42,740.82/x
  3. Step 3: Cross multiply
    78,550.83x = 108,396.90 × 42,740.82
  4. Step 4: Simplify right side
    78,550.83x = 4,632,972,391.46
  5. Step 5: Solve for x
    x = 4,632,972,391.46/78,550.83
  6. Step 6: Final answer
    x = 58,980.57

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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.