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Finding the Fourth Proportional to 164,515.82, 227,047.15 and 99,970.16

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Solution

The fourth proportional to 164,515.82, 227,047.15 and 99,970.16 is: 137,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,515.82 : 227,047.15 = 99,970.16 : x
  2. Step 2: Convert to fraction form
    164,515.82/227,047.15 = 99,970.16/x
  3. Step 3: Cross multiply
    164,515.82x = 227,047.15 × 99,970.16
  4. Step 4: Simplify right side
    164,515.82x = 22,697,938,527.88
  5. Step 5: Solve for x
    x = 22,697,938,527.88/164,515.82
  6. Step 6: Final answer
    x = 137,968.12

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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.