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Finding the Fourth Proportional to 143,259.66, 214,594.16 and 83,915.42

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Solution

The fourth proportional to 143,259.66, 214,594.16 and 83,915.42 is: 125,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,259.66 : 214,594.16 = 83,915.42 : x
  2. Step 2: Convert to fraction form
    143,259.66/214,594.16 = 83,915.42/x
  3. Step 3: Cross multiply
    143,259.66x = 214,594.16 × 83,915.42
  4. Step 4: Simplify right side
    143,259.66x = 18,007,759,065.95
  5. Step 5: Solve for x
    x = 18,007,759,065.95/143,259.66
  6. Step 6: Final answer
    x = 125,700.14

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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.