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Finding the Fourth Proportional to 77,640.50, 107,147.75 and 47,420.93

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Solution

The fourth proportional to 77,640.50, 107,147.75 and 47,420.93 is: 65,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,640.50 : 107,147.75 = 47,420.93 : x
  2. Step 2: Convert to fraction form
    77,640.50/107,147.75 = 47,420.93/x
  3. Step 3: Cross multiply
    77,640.50x = 107,147.75 × 47,420.93
  4. Step 4: Simplify right side
    77,640.50x = 5,081,045,983.17
  5. Step 5: Solve for x
    x = 5,081,045,983.17/77,640.50
  6. Step 6: Final answer
    x = 65,443.24

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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.