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Finding the Fourth Proportional to 141,312, 195,010.04 and 76,780.80

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Solution

The fourth proportional to 141,312, 195,010.04 and 76,780.80 is: 105,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,312 : 195,010.04 = 76,780.80 : x
  2. Step 2: Convert to fraction form
    141,312/195,010.04 = 76,780.80/x
  3. Step 3: Cross multiply
    141,312x = 195,010.04 × 76,780.80
  4. Step 4: Simplify right side
    141,312x = 14,973,026,879.23
  5. Step 5: Solve for x
    x = 14,973,026,879.23/141,312
  6. Step 6: Final answer
    x = 105,957.22

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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.