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Finding the Fourth Proportional to 152,321.70, 210,299.82 and 97,898.20

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Solution

The fourth proportional to 152,321.70, 210,299.82 and 97,898.20 is: 135,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,321.70 : 210,299.82 = 97,898.20 : x
  2. Step 2: Convert to fraction form
    152,321.70/210,299.82 = 97,898.20/x
  3. Step 3: Cross multiply
    152,321.70x = 210,299.82 × 97,898.20
  4. Step 4: Simplify right side
    152,321.70x = 20,587,973,838.32
  5. Step 5: Solve for x
    x = 20,587,973,838.32/152,321.70
  6. Step 6: Final answer
    x = 135,161.13

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1.5x scale

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.