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Finding the Fourth Proportional to 123,430.62, 185,152.40 and 39,197.50

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Solution

The fourth proportional to 123,430.62, 185,152.40 and 39,197.50 is: 58,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,430.62 : 185,152.40 = 39,197.50 : x
  2. Step 2: Convert to fraction form
    123,430.62/185,152.40 = 39,197.50/x
  3. Step 3: Cross multiply
    123,430.62x = 185,152.40 × 39,197.50
  4. Step 4: Simplify right side
    123,430.62x = 7,257,511,199
  5. Step 5: Solve for x
    x = 7,257,511,199/123,430.62
  6. Step 6: Final answer
    x = 58,798.30

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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.