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Finding the Fourth Proportional to 144,868.77, 217,385.37 and 78,307.29

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Solution

The fourth proportional to 144,868.77, 217,385.37 and 78,307.29 is: 117,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,868.77 : 217,385.37 = 78,307.29 : x
  2. Step 2: Convert to fraction form
    144,868.77/217,385.37 = 78,307.29/x
  3. Step 3: Cross multiply
    144,868.77x = 217,385.37 × 78,307.29
  4. Step 4: Simplify right side
    144,868.77x = 17,022,859,210.35
  5. Step 5: Solve for x
    x = 17,022,859,210.35/144,868.77
  6. Step 6: Final answer
    x = 117,505.38

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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.