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Finding the Fourth Proportional to 138,014.80, 190,448.72 and 77,580.88

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Solution

The fourth proportional to 138,014.80, 190,448.72 and 77,580.88 is: 107,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,014.80 : 190,448.72 = 77,580.88 : x
  2. Step 2: Convert to fraction form
    138,014.80/190,448.72 = 77,580.88/x
  3. Step 3: Cross multiply
    138,014.80x = 190,448.72 × 77,580.88
  4. Step 4: Simplify right side
    138,014.80x = 14,775,179,292.47
  5. Step 5: Solve for x
    x = 14,775,179,292.47/138,014.80
  6. Step 6: Final answer
    x = 107,055.04

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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.