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Finding the Fourth Proportional to 180,855, 271,282.50 and 70,047

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Solution

The fourth proportional to 180,855, 271,282.50 and 70,047 is: 105,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,855 : 271,282.50 = 70,047 : x
  2. Step 2: Convert to fraction form
    180,855/271,282.50 = 70,047/x
  3. Step 3: Cross multiply
    180,855x = 271,282.50 × 70,047
  4. Step 4: Simplify right side
    180,855x = 19,002,525,277.50
  5. Step 5: Solve for x
    x = 19,002,525,277.50/180,855
  6. Step 6: Final answer
    x = 105,070.50

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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.