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Finding the Fourth Proportional to 123,946, 185,948.16 and 40,840

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Solution

The fourth proportional to 123,946, 185,948.16 and 40,840 is: 61,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,946 : 185,948.16 = 40,840 : x
  2. Step 2: Convert to fraction form
    123,946/185,948.16 = 40,840/x
  3. Step 3: Cross multiply
    123,946x = 185,948.16 × 40,840
  4. Step 4: Simplify right side
    123,946x = 7,594,122,854.40
  5. Step 5: Solve for x
    x = 7,594,122,854.40/123,946
  6. Step 6: Final answer
    x = 61,269.61

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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.