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Finding the Fourth Proportional to 129,313.80, 178,477.54 and 80,938.16

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Solution

The fourth proportional to 129,313.80, 178,477.54 and 80,938.16 is: 111,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,313.80 : 178,477.54 = 80,938.16 : x
  2. Step 2: Convert to fraction form
    129,313.80/178,477.54 = 80,938.16/x
  3. Step 3: Cross multiply
    129,313.80x = 178,477.54 × 80,938.16
  4. Step 4: Simplify right side
    129,313.80x = 14,445,643,688.93
  5. Step 5: Solve for x
    x = 14,445,643,688.93/129,313.80
  6. Step 6: Final answer
    x = 111,709.99

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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.