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Finding the Fourth Proportional to 141,875.76, 195,783.51 and 77,343.66

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Solution

The fourth proportional to 141,875.76, 195,783.51 and 77,343.66 is: 106,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,875.76 : 195,783.51 = 77,343.66 : x
  2. Step 2: Convert to fraction form
    141,875.76/195,783.51 = 77,343.66/x
  3. Step 3: Cross multiply
    141,875.76x = 195,783.51 × 77,343.66
  4. Step 4: Simplify right side
    141,875.76x = 15,142,613,231.05
  5. Step 5: Solve for x
    x = 15,142,613,231.05/141,875.76
  6. Step 6: Final answer
    x = 106,731.50

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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.