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Finding the Fourth Proportional to 102,578.70, 153,781.65 and 53,330.70

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Solution

The fourth proportional to 102,578.70, 153,781.65 and 53,330.70 is: 79,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,578.70 : 153,781.65 = 53,330.70 : x
  2. Step 2: Convert to fraction form
    102,578.70/153,781.65 = 53,330.70/x
  3. Step 3: Cross multiply
    102,578.70x = 153,781.65 × 53,330.70
  4. Step 4: Simplify right side
    102,578.70x = 8,201,283,041.66
  5. Step 5: Solve for x
    x = 8,201,283,041.66/102,578.70
  6. Step 6: Final answer
    x = 79,951.13

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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.