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Finding the Fourth Proportional to 86,031.68, 118,742.69 and 47,804.36

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Solution

The fourth proportional to 86,031.68, 118,742.69 and 47,804.36 is: 65,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,031.68 : 118,742.69 = 47,804.36 : x
  2. Step 2: Convert to fraction form
    86,031.68/118,742.69 = 47,804.36/x
  3. Step 3: Cross multiply
    86,031.68x = 118,742.69 × 47,804.36
  4. Step 4: Simplify right side
    86,031.68x = 5,676,417,825.93
  5. Step 5: Solve for x
    x = 5,676,417,825.93/86,031.68
  6. Step 6: Final answer
    x = 65,980.56

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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.