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Finding the Fourth Proportional to 257,141.52, 385,737.66 and 88,639.67

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Solution

The fourth proportional to 257,141.52, 385,737.66 and 88,639.67 is: 132,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,141.52 : 385,737.66 = 88,639.67 : x
  2. Step 2: Convert to fraction form
    257,141.52/385,737.66 = 88,639.67/x
  3. Step 3: Cross multiply
    257,141.52x = 385,737.66 × 88,639.67
  4. Step 4: Simplify right side
    257,141.52x = 34,191,657,126.48
  5. Step 5: Solve for x
    x = 34,191,657,126.48/257,141.52
  6. Step 6: Final answer
    x = 132,968.24

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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.