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Finding the Fourth Proportional to 86,064.66, 129,117.75 and 29,896.60

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Solution

The fourth proportional to 86,064.66, 129,117.75 and 29,896.60 is: 44,852.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,064.66 : 129,117.75 = 29,896.60 : x
  2. Step 2: Convert to fraction form
    86,064.66/129,117.75 = 29,896.60/x
  3. Step 3: Cross multiply
    86,064.66x = 129,117.75 × 29,896.60
  4. Step 4: Simplify right side
    86,064.66x = 3,860,182,031.16
  5. Step 5: Solve for x
    x = 3,860,182,031.16/86,064.66
  6. Step 6: Final answer
    x = 44,852.12

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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.