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Finding the Fourth Proportional to 103,117.49, 142,302.41 and 58,405.49

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Solution

The fourth proportional to 103,117.49, 142,302.41 and 58,405.49 is: 80,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,117.49 : 142,302.41 = 58,405.49 : x
  2. Step 2: Convert to fraction form
    103,117.49/142,302.41 = 58,405.49/x
  3. Step 3: Cross multiply
    103,117.49x = 142,302.41 × 58,405.49
  4. Step 4: Simplify right side
    103,117.49x = 8,311,241,984.23
  5. Step 5: Solve for x
    x = 8,311,241,984.23/103,117.49
  6. Step 6: Final answer
    x = 80,599.73

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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.