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Finding the Fourth Proportional to 116,855,787, 161,265,734.28 and 64,643,922.48

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Solution

The fourth proportional to 116,855,787, 161,265,734.28 and 64,643,922.48 is: 89,211,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,855,787 : 161,265,734.28 = 64,643,922.48 : x
  2. Step 2: Convert to fraction form
    116,855,787/161,265,734.28 = 64,643,922.48/x
  3. Step 3: Cross multiply
    116,855,787x = 161,265,734.28 × 64,643,922.48
  4. Step 4: Simplify right side
    116,855,787x = 10,424,849,625,476,598
  5. Step 5: Solve for x
    x = 10,424,849,625,476,598/116,855,787
  6. Step 6: Final answer
    x = 89,211,239.71

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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.