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Finding the Fourth Proportional to 138,887.96, 191,669.32 and 78,461.16

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Solution

The fourth proportional to 138,887.96, 191,669.32 and 78,461.16 is: 108,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,887.96 : 191,669.32 = 78,461.16 : x
  2. Step 2: Convert to fraction form
    138,887.96/191,669.32 = 78,461.16/x
  3. Step 3: Cross multiply
    138,887.96x = 191,669.32 × 78,461.16
  4. Step 4: Simplify right side
    138,887.96x = 15,038,597,183.61
  5. Step 5: Solve for x
    x = 15,038,597,183.61/138,887.96
  6. Step 6: Final answer
    x = 108,278.62

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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.