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Finding the Fourth Proportional to 105,367.80, 145,407.51 and 57,621.15

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Solution

The fourth proportional to 105,367.80, 145,407.51 and 57,621.15 is: 79,517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,367.80 : 145,407.51 = 57,621.15 : x
  2. Step 2: Convert to fraction form
    105,367.80/145,407.51 = 57,621.15/x
  3. Step 3: Cross multiply
    105,367.80x = 145,407.51 × 57,621.15
  4. Step 4: Simplify right side
    105,367.80x = 8,378,547,944.84
  5. Step 5: Solve for x
    x = 8,378,547,944.84/105,367.80
  6. Step 6: Final answer
    x = 79,517.16

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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.