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Finding the Fourth Proportional to 141,390, 195,119.40 and 77,726.40

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Solution

The fourth proportional to 141,390, 195,119.40 and 77,726.40 is: 107,263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,390 : 195,119.40 = 77,726.40 : x
  2. Step 2: Convert to fraction form
    141,390/195,119.40 = 77,726.40/x
  3. Step 3: Cross multiply
    141,390x = 195,119.40 × 77,726.40
  4. Step 4: Simplify right side
    141,390x = 15,165,928,532.16
  5. Step 5: Solve for x
    x = 15,165,928,532.16/141,390
  6. Step 6: Final answer
    x = 107,263.09

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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.