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Finding the Fourth Proportional to 108,152.57, 149,039.77 and 77,880.74

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Solution

The fourth proportional to 108,152.57, 149,039.77 and 77,880.74 is: 107,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,152.57 : 149,039.77 = 77,880.74 : x
  2. Step 2: Convert to fraction form
    108,152.57/149,039.77 = 77,880.74/x
  3. Step 3: Cross multiply
    108,152.57x = 149,039.77 × 77,880.74
  4. Step 4: Simplify right side
    108,152.57x = 11,607,327,840.54
  5. Step 5: Solve for x
    x = 11,607,327,840.54/108,152.57
  6. Step 6: Final answer
    x = 107,323.65

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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.