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Finding the Fourth Proportional to 128,201.40, 176,915.34 and 77,916.60

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Solution

The fourth proportional to 128,201.40, 176,915.34 and 77,916.60 is: 107,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,201.40 : 176,915.34 = 77,916.60 : x
  2. Step 2: Convert to fraction form
    128,201.40/176,915.34 = 77,916.60/x
  3. Step 3: Cross multiply
    128,201.40x = 176,915.34 × 77,916.60
  4. Step 4: Simplify right side
    128,201.40x = 13,784,641,780.64
  5. Step 5: Solve for x
    x = 13,784,641,780.64/128,201.40
  6. Step 6: Final answer
    x = 107,523.33

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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.