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Finding the Fourth Proportional to 199,951.84, 299,867.19 and 105,130.90

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Solution

The fourth proportional to 199,951.84, 299,867.19 and 105,130.90 is: 157,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,951.84 : 299,867.19 = 105,130.90 : x
  2. Step 2: Convert to fraction form
    199,951.84/299,867.19 = 105,130.90/x
  3. Step 3: Cross multiply
    199,951.84x = 299,867.19 × 105,130.90
  4. Step 4: Simplify right side
    199,951.84x = 31,525,307,565.17
  5. Step 5: Solve for x
    x = 31,525,307,565.17/199,951.84
  6. Step 6: Final answer
    x = 157,664.50

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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.