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Finding the Fourth Proportional to 86,301.64, 129,449.22 and 35,699.32

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Solution

The fourth proportional to 86,301.64, 129,449.22 and 35,699.32 is: 53,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,301.64 : 129,449.22 = 35,699.32 : x
  2. Step 2: Convert to fraction form
    86,301.64/129,449.22 = 35,699.32/x
  3. Step 3: Cross multiply
    86,301.64x = 129,449.22 × 35,699.32
  4. Step 4: Simplify right side
    86,301.64x = 4,621,249,128.53
  5. Step 5: Solve for x
    x = 4,621,249,128.53/86,301.64
  6. Step 6: Final answer
    x = 53,547.64

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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.