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Finding the Fourth Proportional to 171,545.52, 257,148 and 81,430.32

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Solution

The fourth proportional to 171,545.52, 257,148 and 81,430.32 is: 122,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,545.52 : 257,148 = 81,430.32 : x
  2. Step 2: Convert to fraction form
    171,545.52/257,148 = 81,430.32/x
  3. Step 3: Cross multiply
    171,545.52x = 257,148 × 81,430.32
  4. Step 4: Simplify right side
    171,545.52x = 20,939,643,927.36
  5. Step 5: Solve for x
    x = 20,939,643,927.36/171,545.52
  6. Step 6: Final answer
    x = 122,064.65

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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.