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Finding the Fourth Proportional to 143,585.46, 198,117.90 and 86,985.90

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Solution

The fourth proportional to 143,585.46, 198,117.90 and 86,985.90 is: 120,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,585.46 : 198,117.90 = 86,985.90 : x
  2. Step 2: Convert to fraction form
    143,585.46/198,117.90 = 86,985.90/x
  3. Step 3: Cross multiply
    143,585.46x = 198,117.90 × 86,985.90
  4. Step 4: Simplify right side
    143,585.46x = 17,233,463,837.61
  5. Step 5: Solve for x
    x = 17,233,463,837.61/143,585.46
  6. Step 6: Final answer
    x = 120,022.35

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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.