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Finding the Fourth Proportional to 86,509.54, 119,316 and 54,666.82

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Solution

The fourth proportional to 86,509.54, 119,316 and 54,666.82 is: 75,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,509.54 : 119,316 = 54,666.82 : x
  2. Step 2: Convert to fraction form
    86,509.54/119,316 = 54,666.82/x
  3. Step 3: Cross multiply
    86,509.54x = 119,316 × 54,666.82
  4. Step 4: Simplify right side
    86,509.54x = 6,522,626,295.12
  5. Step 5: Solve for x
    x = 6,522,626,295.12/86,509.54
  6. Step 6: Final answer
    x = 75,397.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.