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Finding the Fourth Proportional to 86,509.68, 129,815.76 and 36,587.04

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Solution

The fourth proportional to 86,509.68, 129,815.76 and 36,587.04 is: 54,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,509.68 : 129,815.76 = 36,587.04 : x
  2. Step 2: Convert to fraction form
    86,509.68/129,815.76 = 36,587.04/x
  3. Step 3: Cross multiply
    86,509.68x = 129,815.76 × 36,587.04
  4. Step 4: Simplify right side
    86,509.68x = 4,749,574,403.75
  5. Step 5: Solve for x
    x = 4,749,574,403.75/86,509.68
  6. Step 6: Final answer
    x = 54,902.23

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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.