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Finding the Fourth Proportional to 105,508.80, 145,821.60 and 84,513.60

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Solution

The fourth proportional to 105,508.80, 145,821.60 and 84,513.60 is: 116,804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,508.80 : 145,821.60 = 84,513.60 : x
  2. Step 2: Convert to fraction form
    105,508.80/145,821.60 = 84,513.60/x
  3. Step 3: Cross multiply
    105,508.80x = 145,821.60 × 84,513.60
  4. Step 4: Simplify right side
    105,508.80x = 12,323,908,373.76
  5. Step 5: Solve for x
    x = 12,323,908,373.76/105,508.80
  6. Step 6: Final answer
    x = 116,804.55

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1.5x scale

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.