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Finding the Fourth Proportional to 257,688.68, 386,559.52 and 89,208.68

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Solution

The fourth proportional to 257,688.68, 386,559.52 and 89,208.68 is: 133,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,688.68 : 386,559.52 = 89,208.68 : x
  2. Step 2: Convert to fraction form
    257,688.68/386,559.52 = 89,208.68/x
  3. Step 3: Cross multiply
    257,688.68x = 386,559.52 × 89,208.68
  4. Step 4: Simplify right side
    257,688.68x = 34,484,464,520.63
  5. Step 5: Solve for x
    x = 34,484,464,520.63/257,688.68
  6. Step 6: Final answer
    x = 133,822.19

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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.