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Finding the Fourth Proportional to 100,916.40, 151,155.90 and 83,420.40

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Solution

The fourth proportional to 100,916.40, 151,155.90 and 83,420.40 is: 124,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,916.40 : 151,155.90 = 83,420.40 : x
  2. Step 2: Convert to fraction form
    100,916.40/151,155.90 = 83,420.40/x
  3. Step 3: Cross multiply
    100,916.40x = 151,155.90 × 83,420.40
  4. Step 4: Simplify right side
    100,916.40x = 12,609,485,640.36
  5. Step 5: Solve for x
    x = 12,609,485,640.36/100,916.40
  6. Step 6: Final answer
    x = 124,949.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.