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Finding the Fourth Proportional to 102,931.80, 154,404.90 and 40,594.20

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Solution

The fourth proportional to 102,931.80, 154,404.90 and 40,594.20 is: 60,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,931.80 : 154,404.90 = 40,594.20 : x
  2. Step 2: Convert to fraction form
    102,931.80/154,404.90 = 40,594.20/x
  3. Step 3: Cross multiply
    102,931.80x = 154,404.90 × 40,594.20
  4. Step 4: Simplify right side
    102,931.80x = 6,267,943,391.58
  5. Step 5: Solve for x
    x = 6,267,943,391.58/102,931.80
  6. Step 6: Final answer
    x = 60,894.14

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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.