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Finding the Fourth Proportional to 257,519.52, 386,172.36 and 99,657

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Solution

The fourth proportional to 257,519.52, 386,172.36 and 99,657 is: 149,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,519.52 : 386,172.36 = 99,657 : x
  2. Step 2: Convert to fraction form
    257,519.52/386,172.36 = 99,657/x
  3. Step 3: Cross multiply
    257,519.52x = 386,172.36 × 99,657
  4. Step 4: Simplify right side
    257,519.52x = 38,484,778,880.52
  5. Step 5: Solve for x
    x = 38,484,778,880.52/257,519.52
  6. Step 6: Final answer
    x = 149,444.12

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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.