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Finding the Fourth Proportional to 78,422.48, 108,210.84 and 46,590.56

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Solution

The fourth proportional to 78,422.48, 108,210.84 and 46,590.56 is: 64,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,422.48 : 108,210.84 = 46,590.56 : x
  2. Step 2: Convert to fraction form
    78,422.48/108,210.84 = 46,590.56/x
  3. Step 3: Cross multiply
    78,422.48x = 108,210.84 × 46,590.56
  4. Step 4: Simplify right side
    78,422.48x = 5,041,603,633.67
  5. Step 5: Solve for x
    x = 5,041,603,633.67/78,422.48
  6. Step 6: Final answer
    x = 64,287.74

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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.