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Finding the Fourth Proportional to 100,642,532, 150,946,981.28 and 27,866,669.28

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Solution

The fourth proportional to 100,642,532, 150,946,981.28 and 27,866,669.28 is: 41,795,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,642,532 : 150,946,981.28 = 27,866,669.28 : x
  2. Step 2: Convert to fraction form
    100,642,532/150,946,981.28 = 27,866,669.28/x
  3. Step 3: Cross multiply
    100,642,532x = 150,946,981.28 × 27,866,669.28
  4. Step 4: Simplify right side
    100,642,532x = 4,206,389,606,144,111.50
  5. Step 5: Solve for x
    x = 4,206,389,606,144,111.50/100,642,532
  6. Step 6: Final answer
    x = 41,795,347.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.