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Finding the Fourth Proportional to 129,513.50, 178,748.50 and 78,534.54

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Solution

The fourth proportional to 129,513.50, 178,748.50 and 78,534.54 is: 108,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,513.50 : 178,748.50 = 78,534.54 : x
  2. Step 2: Convert to fraction form
    129,513.50/178,748.50 = 78,534.54/x
  3. Step 3: Cross multiply
    129,513.50x = 178,748.50 × 78,534.54
  4. Step 4: Simplify right side
    129,513.50x = 14,037,931,223.19
  5. Step 5: Solve for x
    x = 14,037,931,223.19/129,513.50
  6. Step 6: Final answer
    x = 108,389.71

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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.