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Finding the Fourth Proportional to 86,457.40, 129,477.10 and 71,556.64

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Solution

The fourth proportional to 86,457.40, 129,477.10 and 71,556.64 is: 107,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,457.40 : 129,477.10 = 71,556.64 : x
  2. Step 2: Convert to fraction form
    86,457.40/129,477.10 = 71,556.64/x
  3. Step 3: Cross multiply
    86,457.40x = 129,477.10 × 71,556.64
  4. Step 4: Simplify right side
    86,457.40x = 9,264,946,232.94
  5. Step 5: Solve for x
    x = 9,264,946,232.94/86,457.40
  6. Step 6: Final answer
    x = 107,161.98

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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.