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Finding the Fourth Proportional to 106,642.55, 147,185.61 and 61,316.98

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Solution

The fourth proportional to 106,642.55, 147,185.61 and 61,316.98 is: 84,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,642.55 : 147,185.61 = 61,316.98 : x
  2. Step 2: Convert to fraction form
    106,642.55/147,185.61 = 61,316.98/x
  3. Step 3: Cross multiply
    106,642.55x = 147,185.61 × 61,316.98
  4. Step 4: Simplify right side
    106,642.55x = 9,024,977,104.66
  5. Step 5: Solve for x
    x = 9,024,977,104.66/106,642.55
  6. Step 6: Final answer
    x = 84,628.29

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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.