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Finding the Fourth Proportional to 257,907.15, 386,915.40 and 77,977.80

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Solution

The fourth proportional to 257,907.15, 386,915.40 and 77,977.80 is: 116,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,907.15 : 386,915.40 = 77,977.80 : x
  2. Step 2: Convert to fraction form
    257,907.15/386,915.40 = 77,977.80/x
  3. Step 3: Cross multiply
    257,907.15x = 386,915.40 × 77,977.80
  4. Step 4: Simplify right side
    257,907.15x = 30,170,811,678.12
  5. Step 5: Solve for x
    x = 30,170,811,678.12/257,907.15
  6. Step 6: Final answer
    x = 116,983.23

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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.