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Finding the Fourth Proportional to 271,282.50, 406,923.75 and 105,070.50

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Solution

The fourth proportional to 271,282.50, 406,923.75 and 105,070.50 is: 157,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,282.50 : 406,923.75 = 105,070.50 : x
  2. Step 2: Convert to fraction form
    271,282.50/406,923.75 = 105,070.50/x
  3. Step 3: Cross multiply
    271,282.50x = 406,923.75 × 105,070.50
  4. Step 4: Simplify right side
    271,282.50x = 42,755,681,874.38
  5. Step 5: Solve for x
    x = 42,755,681,874.38/271,282.50
  6. Step 6: Final answer
    x = 157,605.75

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1.5x scale

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.