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Finding the Fourth Proportional to 141,242.92, 194,915.10 and 77,580.16

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Solution

The fourth proportional to 141,242.92, 194,915.10 and 77,580.16 is: 107,060.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,242.92 : 194,915.10 = 77,580.16 : x
  2. Step 2: Convert to fraction form
    141,242.92/194,915.10 = 77,580.16/x
  3. Step 3: Cross multiply
    141,242.92x = 194,915.10 × 77,580.16
  4. Step 4: Simplify right side
    141,242.92x = 15,121,544,644.42
  5. Step 5: Solve for x
    x = 15,121,544,644.42/141,242.92
  6. Step 6: Final answer
    x = 107,060.55

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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.