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Finding the Fourth Proportional to 144,106, 216,159.96 and 45,610

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Solution

The fourth proportional to 144,106, 216,159.96 and 45,610 is: 68,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,106 : 216,159.96 = 45,610 : x
  2. Step 2: Convert to fraction form
    144,106/216,159.96 = 45,610/x
  3. Step 3: Cross multiply
    144,106x = 216,159.96 × 45,610
  4. Step 4: Simplify right side
    144,106x = 9,859,055,775.60
  5. Step 5: Solve for x
    x = 9,859,055,775.60/144,106
  6. Step 6: Final answer
    x = 68,415.30

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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.