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Finding the Fourth Proportional to 141,641.42, 195,457.74 and 77,966.78

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Solution

The fourth proportional to 141,641.42, 195,457.74 and 77,966.78 is: 107,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,641.42 : 195,457.74 = 77,966.78 : x
  2. Step 2: Convert to fraction form
    141,641.42/195,457.74 = 77,966.78/x
  3. Step 3: Cross multiply
    141,641.42x = 195,457.74 × 77,966.78
  4. Step 4: Simplify right side
    141,641.42x = 15,239,210,613.88
  5. Step 5: Solve for x
    x = 15,239,210,613.88/141,641.42
  6. Step 6: Final answer
    x = 107,590.07

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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.