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Finding the Fourth Proportional to 78,003, 107,600.40 and 47,802.96

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Solution

The fourth proportional to 78,003, 107,600.40 and 47,802.96 is: 65,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,003 : 107,600.40 = 47,802.96 : x
  2. Step 2: Convert to fraction form
    78,003/107,600.40 = 47,802.96/x
  3. Step 3: Cross multiply
    78,003x = 107,600.40 × 47,802.96
  4. Step 4: Simplify right side
    78,003x = 5,143,617,617.18
  5. Step 5: Solve for x
    x = 5,143,617,617.18/78,003
  6. Step 6: Final answer
    x = 65,941.28

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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.