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Finding the Fourth Proportional to 142,290.65, 196,363.92 and 77,763.89

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Solution

The fourth proportional to 142,290.65, 196,363.92 and 77,763.89 is: 107,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,290.65 : 196,363.92 = 77,763.89 : x
  2. Step 2: Convert to fraction form
    142,290.65/196,363.92 = 77,763.89/x
  3. Step 3: Cross multiply
    142,290.65x = 196,363.92 × 77,763.89
  4. Step 4: Simplify right side
    142,290.65x = 15,270,021,001.41
  5. Step 5: Solve for x
    x = 15,270,021,001.41/142,290.65
  6. Step 6: Final answer
    x = 107,315.70

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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.