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Finding the Fourth Proportional to 86,706.81, 130,070.63 and 30,535.31

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Solution

The fourth proportional to 86,706.81, 130,070.63 and 30,535.31 is: 45,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,706.81 : 130,070.63 = 30,535.31 : x
  2. Step 2: Convert to fraction form
    86,706.81/130,070.63 = 30,535.31/x
  3. Step 3: Cross multiply
    86,706.81x = 130,070.63 × 30,535.31
  4. Step 4: Simplify right side
    86,706.81x = 3,971,747,410.46
  5. Step 5: Solve for x
    x = 3,971,747,410.46/86,706.81
  6. Step 6: Final answer
    x = 45,806.64

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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.