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Finding the Fourth Proportional to 78,187.84, 107,899.36 and 45,916.24

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Solution

The fourth proportional to 78,187.84, 107,899.36 and 45,916.24 is: 63,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,187.84 : 107,899.36 = 45,916.24 : x
  2. Step 2: Convert to fraction form
    78,187.84/107,899.36 = 45,916.24/x
  3. Step 3: Cross multiply
    78,187.84x = 107,899.36 × 45,916.24
  4. Step 4: Simplify right side
    78,187.84x = 4,954,332,909.61
  5. Step 5: Solve for x
    x = 4,954,332,909.61/78,187.84
  6. Step 6: Final answer
    x = 63,364.49

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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.