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Finding the Fourth Proportional to 105,089.70, 157,780.35 and 65,723.70

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Solution

The fourth proportional to 105,089.70, 157,780.35 and 65,723.70 is: 98,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,089.70 : 157,780.35 = 65,723.70 : x
  2. Step 2: Convert to fraction form
    105,089.70/157,780.35 = 65,723.70/x
  3. Step 3: Cross multiply
    105,089.70x = 157,780.35 × 65,723.70
  4. Step 4: Simplify right side
    105,089.70x = 10,369,908,389.30
  5. Step 5: Solve for x
    x = 10,369,908,389.30/105,089.70
  6. Step 6: Final answer
    x = 98,676.73

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1.5x scale

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.