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Finding the Fourth Proportional to 155,851.90, 215,075.76 and 84,232.00

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Solution

The fourth proportional to 155,851.90, 215,075.76 and 84,232.00 is: 116,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,851.90 : 215,075.76 = 84,232.00 : x
  2. Step 2: Convert to fraction form
    155,851.90/215,075.76 = 84,232.00/x
  3. Step 3: Cross multiply
    155,851.90x = 215,075.76 × 84,232.00
  4. Step 4: Simplify right side
    155,851.90x = 18,116,261,369.29
  5. Step 5: Solve for x
    x = 18,116,261,369.29/155,851.90
  6. Step 6: Final answer
    x = 116,240.24

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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.