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Finding the Fourth Proportional to 78,802.11, 108,746.94 and 50,507.80

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Solution

The fourth proportional to 78,802.11, 108,746.94 and 50,507.80 is: 69,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,802.11 : 108,746.94 = 50,507.80 : x
  2. Step 2: Convert to fraction form
    78,802.11/108,746.94 = 50,507.80/x
  3. Step 3: Cross multiply
    78,802.11x = 108,746.94 × 50,507.80
  4. Step 4: Simplify right side
    78,802.11x = 5,492,567,899.86
  5. Step 5: Solve for x
    x = 5,492,567,899.86/78,802.11
  6. Step 6: Final answer
    x = 69,700.77

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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.