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Finding the Fourth Proportional to 157,639, 217,547.04 and 86,022.96

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Solution

The fourth proportional to 157,639, 217,547.04 and 86,022.96 is: 118,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,639 : 217,547.04 = 86,022.96 : x
  2. Step 2: Convert to fraction form
    157,639/217,547.04 = 86,022.96/x
  3. Step 3: Cross multiply
    157,639x = 217,547.04 × 86,022.96
  4. Step 4: Simplify right side
    157,639x = 18,714,040,320.04
  5. Step 5: Solve for x
    x = 18,714,040,320.04/157,639
  6. Step 6: Final answer
    x = 118,714.53

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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.