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Finding the Fourth Proportional to 105,006.85, 144,973.70 and 64,775.59

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Solution

The fourth proportional to 105,006.85, 144,973.70 and 64,775.59 is: 89,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,006.85 : 144,973.70 = 64,775.59 : x
  2. Step 2: Convert to fraction form
    105,006.85/144,973.70 = 64,775.59/x
  3. Step 3: Cross multiply
    105,006.85x = 144,973.70 × 64,775.59
  4. Step 4: Simplify right side
    105,006.85x = 9,390,756,628.11
  5. Step 5: Solve for x
    x = 9,390,756,628.11/105,006.85
  6. Step 6: Final answer
    x = 89,429.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.