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Finding the Fourth Proportional to 171,862.12, 257,689.62 and 77,075.14

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Solution

The fourth proportional to 171,862.12, 257,689.62 and 77,075.14 is: 115,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,862.12 : 257,689.62 = 77,075.14 : x
  2. Step 2: Convert to fraction form
    171,862.12/257,689.62 = 77,075.14/x
  3. Step 3: Cross multiply
    171,862.12x = 257,689.62 × 77,075.14
  4. Step 4: Simplify right side
    171,862.12x = 19,861,463,538.05
  5. Step 5: Solve for x
    x = 19,861,463,538.05/171,862.12
  6. Step 6: Final answer
    x = 115,566.27

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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.