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Finding the Fourth Proportional to 105,100, 145,038.08 and 78,265.60

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Solution

The fourth proportional to 105,100, 145,038.08 and 78,265.60 is: 108,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,100 : 145,038.08 = 78,265.60 : x
  2. Step 2: Convert to fraction form
    105,100/145,038.08 = 78,265.60/x
  3. Step 3: Cross multiply
    105,100x = 145,038.08 × 78,265.60
  4. Step 4: Simplify right side
    105,100x = 11,351,492,354.05
  5. Step 5: Solve for x
    x = 11,351,492,354.05/105,100
  6. Step 6: Final answer
    x = 108,006.59

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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.