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Finding the Fourth Proportional to 101,970.29, 152,902.89 and 45,762.21

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Solution

The fourth proportional to 101,970.29, 152,902.89 and 45,762.21 is: 68,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.29 : 152,902.89 = 45,762.21 : x
  2. Step 2: Convert to fraction form
    101,970.29/152,902.89 = 45,762.21/x
  3. Step 3: Cross multiply
    101,970.29x = 152,902.89 × 45,762.21
  4. Step 4: Simplify right side
    101,970.29x = 6,997,174,161.79
  5. Step 5: Solve for x
    x = 6,997,174,161.79/101,970.29
  6. Step 6: Final answer
    x = 68,619.73

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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.