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Finding the Fourth Proportional to 105,295.68, 145,348.32 and 65,016

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Solution

The fourth proportional to 105,295.68, 145,348.32 and 65,016 is: 89,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,295.68 : 145,348.32 = 65,016 : x
  2. Step 2: Convert to fraction form
    105,295.68/145,348.32 = 65,016/x
  3. Step 3: Cross multiply
    105,295.68x = 145,348.32 × 65,016
  4. Step 4: Simplify right side
    105,295.68x = 9,449,966,373.12
  5. Step 5: Solve for x
    x = 9,449,966,373.12/105,295.68
  6. Step 6: Final answer
    x = 89,746.95

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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.