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Finding the Fourth Proportional to 292,127.50, 403,135.95 and 157,991.50

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Solution

The fourth proportional to 292,127.50, 403,135.95 and 157,991.50 is: 218,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,127.50 : 403,135.95 = 157,991.50 : x
  2. Step 2: Convert to fraction form
    292,127.50/403,135.95 = 157,991.50/x
  3. Step 3: Cross multiply
    292,127.50x = 403,135.95 × 157,991.50
  4. Step 4: Simplify right side
    292,127.50x = 63,692,053,444.43
  5. Step 5: Solve for x
    x = 63,692,053,444.43/292,127.50
  6. Step 6: Final answer
    x = 218,028.27

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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.