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Finding the Fourth Proportional to 102,068.40, 153,079.20 and 38,895.66

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Solution

The fourth proportional to 102,068.40, 153,079.20 and 38,895.66 is: 58,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,068.40 : 153,079.20 = 38,895.66 : x
  2. Step 2: Convert to fraction form
    102,068.40/153,079.20 = 38,895.66/x
  3. Step 3: Cross multiply
    102,068.40x = 153,079.20 × 38,895.66
  4. Step 4: Simplify right side
    102,068.40x = 5,954,116,516.27
  5. Step 5: Solve for x
    x = 5,954,116,516.27/102,068.40
  6. Step 6: Final answer
    x = 58,334.57

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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.