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Finding the Fourth Proportional to 105,312.40, 157,738.20 and 63,686.80

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Solution

The fourth proportional to 105,312.40, 157,738.20 and 63,686.80 is: 95,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,312.40 : 157,738.20 = 63,686.80 : x
  2. Step 2: Convert to fraction form
    105,312.40/157,738.20 = 63,686.80/x
  3. Step 3: Cross multiply
    105,312.40x = 157,738.20 × 63,686.80
  4. Step 4: Simplify right side
    105,312.40x = 10,045,841,195.76
  5. Step 5: Solve for x
    x = 10,045,841,195.76/105,312.40
  6. Step 6: Final answer
    x = 95,390.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.