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Finding the Fourth Proportional to 171,688.68, 257,483.76 and 51,757.32

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Solution

The fourth proportional to 171,688.68, 257,483.76 and 51,757.32 is: 77,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,688.68 : 257,483.76 = 51,757.32 : x
  2. Step 2: Convert to fraction form
    171,688.68/257,483.76 = 51,757.32/x
  3. Step 3: Cross multiply
    171,688.68x = 257,483.76 × 51,757.32
  4. Step 4: Simplify right side
    171,688.68x = 13,326,669,361.12
  5. Step 5: Solve for x
    x = 13,326,669,361.12/171,688.68
  6. Step 6: Final answer
    x = 77,621.13

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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.