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Finding the Fourth Proportional to 105,053.64, 144,976.08 and 57,308.76

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Solution

The fourth proportional to 105,053.64, 144,976.08 and 57,308.76 is: 79,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,053.64 : 144,976.08 = 57,308.76 : x
  2. Step 2: Convert to fraction form
    105,053.64/144,976.08 = 57,308.76/x
  3. Step 3: Cross multiply
    105,053.64x = 144,976.08 × 57,308.76
  4. Step 4: Simplify right side
    105,053.64x = 8,308,399,374.46
  5. Step 5: Solve for x
    x = 8,308,399,374.46/105,053.64
  6. Step 6: Final answer
    x = 79,087.21

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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.