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Finding the Fourth Proportional to 137,980.13, 190,412.75 and 78,364.13

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Solution

The fourth proportional to 137,980.13, 190,412.75 and 78,364.13 is: 108,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,980.13 : 190,412.75 = 78,364.13 : x
  2. Step 2: Convert to fraction form
    137,980.13/190,412.75 = 78,364.13/x
  3. Step 3: Cross multiply
    137,980.13x = 190,412.75 × 78,364.13
  4. Step 4: Simplify right side
    137,980.13x = 14,921,528,738.50
  5. Step 5: Solve for x
    x = 14,921,528,738.50/137,980.13
  6. Step 6: Final answer
    x = 108,142.59

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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.