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Finding the Fourth Proportional to 257,859.50, 386,788.90 and 97,935.13

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Solution

The fourth proportional to 257,859.50, 386,788.90 and 97,935.13 is: 146,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,859.50 : 386,788.90 = 97,935.13 : x
  2. Step 2: Convert to fraction form
    257,859.50/386,788.90 = 97,935.13/x
  3. Step 3: Cross multiply
    257,859.50x = 386,788.90 × 97,935.13
  4. Step 4: Simplify right side
    257,859.50x = 37,880,219,270.11
  5. Step 5: Solve for x
    x = 37,880,219,270.11/257,859.50
  6. Step 6: Final answer
    x = 146,902.55

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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.