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Finding the Fourth Proportional to 105,931.97, 145,970.60 and 98,457.90

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Solution

The fourth proportional to 105,931.97, 145,970.60 and 98,457.90 is: 135,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,931.97 : 145,970.60 = 98,457.90 : x
  2. Step 2: Convert to fraction form
    105,931.97/145,970.60 = 98,457.90/x
  3. Step 3: Cross multiply
    105,931.97x = 145,970.60 × 98,457.90
  4. Step 4: Simplify right side
    105,931.97x = 14,371,958,245.45
  5. Step 5: Solve for x
    x = 14,371,958,245.45/105,931.97
  6. Step 6: Final answer
    x = 135,671.59

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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.