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Finding the Fourth Proportional to 143,602.74, 198,141.80 and 83,151.63

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Solution

The fourth proportional to 143,602.74, 198,141.80 and 83,151.63 is: 114,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,602.74 : 198,141.80 = 83,151.63 : x
  2. Step 2: Convert to fraction form
    143,602.74/198,141.80 = 83,151.63/x
  3. Step 3: Cross multiply
    143,602.74x = 198,141.80 × 83,151.63
  4. Step 4: Simplify right side
    143,602.74x = 16,475,813,225.38
  5. Step 5: Solve for x
    x = 16,475,813,225.38/143,602.74
  6. Step 6: Final answer
    x = 114,731.89

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1.5x scale

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.