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Finding the Fourth Proportional to 128,642, 177,525.96 and 72,053.24

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Solution

The fourth proportional to 128,642, 177,525.96 and 72,053.24 is: 99,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,642 : 177,525.96 = 72,053.24 : x
  2. Step 2: Convert to fraction form
    128,642/177,525.96 = 72,053.24/x
  3. Step 3: Cross multiply
    128,642x = 177,525.96 × 72,053.24
  4. Step 4: Simplify right side
    128,642x = 12,791,320,602.11
  5. Step 5: Solve for x
    x = 12,791,320,602.11/128,642
  6. Step 6: Final answer
    x = 99,433.47

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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.