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Finding the Fourth Proportional to 105,711, 145,867.80 and 57,951.80

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Solution

The fourth proportional to 105,711, 145,867.80 and 57,951.80 is: 79,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,711 : 145,867.80 = 57,951.80 : x
  2. Step 2: Convert to fraction form
    105,711/145,867.80 = 57,951.80/x
  3. Step 3: Cross multiply
    105,711x = 145,867.80 × 57,951.80
  4. Step 4: Simplify right side
    105,711x = 8,453,301,572.04
  5. Step 5: Solve for x
    x = 8,453,301,572.04/105,711
  6. Step 6: Final answer
    x = 79,966.15

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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.