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Finding the Fourth Proportional to 105,671.74, 145,841.94 and 65,398.48

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Solution

The fourth proportional to 105,671.74, 145,841.94 and 65,398.48 is: 90,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,671.74 : 145,841.94 = 65,398.48 : x
  2. Step 2: Convert to fraction form
    105,671.74/145,841.94 = 65,398.48/x
  3. Step 3: Cross multiply
    105,671.74x = 145,841.94 × 65,398.48
  4. Step 4: Simplify right side
    105,671.74x = 9,537,841,196.25
  5. Step 5: Solve for x
    x = 9,537,841,196.25/105,671.74
  6. Step 6: Final answer
    x = 90,259.15

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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.