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Finding the Fourth Proportional to 118,870.10, 178,045.95 and 105,737.30

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Solution

The fourth proportional to 118,870.10, 178,045.95 and 105,737.30 is: 158,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,870.10 : 178,045.95 = 105,737.30 : x
  2. Step 2: Convert to fraction form
    118,870.10/178,045.95 = 105,737.30/x
  3. Step 3: Cross multiply
    118,870.10x = 178,045.95 × 105,737.30
  4. Step 4: Simplify right side
    118,870.10x = 18,826,098,028.94
  5. Step 5: Solve for x
    x = 18,826,098,028.94/118,870.10
  6. Step 6: Final answer
    x = 158,375.39

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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.