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Finding the Fourth Proportional to 125,456, 188,248.53 and 83,365.16

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Solution

The fourth proportional to 125,456, 188,248.53 and 83,365.16 is: 125,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,456 : 188,248.53 = 83,365.16 : x
  2. Step 2: Convert to fraction form
    125,456/188,248.53 = 83,365.16/x
  3. Step 3: Cross multiply
    125,456x = 188,248.53 × 83,365.16
  4. Step 4: Simplify right side
    125,456x = 15,693,368,823.21
  5. Step 5: Solve for x
    x = 15,693,368,823.21/125,456
  6. Step 6: Final answer
    x = 125,090.62

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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.