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Finding the Fourth Proportional to 78,151.84, 107,849.60 and 45,880.14

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Solution

The fourth proportional to 78,151.84, 107,849.60 and 45,880.14 is: 63,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,151.84 : 107,849.60 = 45,880.14 : x
  2. Step 2: Convert to fraction form
    78,151.84/107,849.60 = 45,880.14/x
  3. Step 3: Cross multiply
    78,151.84x = 107,849.60 × 45,880.14
  4. Step 4: Simplify right side
    78,151.84x = 4,948,154,746.94
  5. Step 5: Solve for x
    x = 4,948,154,746.94/78,151.84
  6. Step 6: Final answer
    x = 63,314.63

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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.