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Finding the Fourth Proportional to 257,989.16, 386,986.14 and 78,075.88

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Solution

The fourth proportional to 257,989.16, 386,986.14 and 78,075.88 is: 117,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,989.16 : 386,986.14 = 78,075.88 : x
  2. Step 2: Convert to fraction form
    257,989.16/386,986.14 = 78,075.88/x
  3. Step 3: Cross multiply
    257,989.16x = 386,986.14 × 78,075.88
  4. Step 4: Simplify right side
    257,989.16x = 30,214,283,428.30
  5. Step 5: Solve for x
    x = 30,214,283,428.30/257,989.16
  6. Step 6: Final answer
    x = 117,114.55

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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.