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Finding the Fourth Proportional to 257,701.69, 386,457.76 and 89,178.76

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Solution

The fourth proportional to 257,701.69, 386,457.76 and 89,178.76 is: 133,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,701.69 : 386,457.76 = 89,178.76 : x
  2. Step 2: Convert to fraction form
    257,701.69/386,457.76 = 89,178.76/x
  3. Step 3: Cross multiply
    257,701.69x = 386,457.76 × 89,178.76
  4. Step 4: Simplify right side
    257,701.69x = 34,463,823,829.18
  5. Step 5: Solve for x
    x = 34,463,823,829.18/257,701.69
  6. Step 6: Final answer
    x = 133,735.34

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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.