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Finding the Fourth Proportional to 150,681.25, 207,949.85 and 83,613.25

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Solution

The fourth proportional to 150,681.25, 207,949.85 and 83,613.25 is: 115,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,681.25 : 207,949.85 = 83,613.25 : x
  2. Step 2: Convert to fraction form
    150,681.25/207,949.85 = 83,613.25/x
  3. Step 3: Cross multiply
    150,681.25x = 207,949.85 × 83,613.25
  4. Step 4: Simplify right side
    150,681.25x = 17,387,362,795.51
  5. Step 5: Solve for x
    x = 17,387,362,795.51/150,681.25
  6. Step 6: Final answer
    x = 115,391.68

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1.5x scale

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.