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Finding the Fourth Proportional to 123,438.42, 185,128.74 and 34,700.40

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Solution

The fourth proportional to 123,438.42, 185,128.74 and 34,700.40 is: 52,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,438.42 : 185,128.74 = 34,700.40 : x
  2. Step 2: Convert to fraction form
    123,438.42/185,128.74 = 34,700.40/x
  3. Step 3: Cross multiply
    123,438.42x = 185,128.74 × 34,700.40
  4. Step 4: Simplify right side
    123,438.42x = 6,424,041,329.50
  5. Step 5: Solve for x
    x = 6,424,041,329.50/123,438.42
  6. Step 6: Final answer
    x = 52,042.48

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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.