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Finding the Fourth Proportional to 152,203.68, 210,041.32 and 84,223.52

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Solution

The fourth proportional to 152,203.68, 210,041.32 and 84,223.52 is: 116,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,203.68 : 210,041.32 = 84,223.52 : x
  2. Step 2: Convert to fraction form
    152,203.68/210,041.32 = 84,223.52/x
  3. Step 3: Cross multiply
    152,203.68x = 210,041.32 × 84,223.52
  4. Step 4: Simplify right side
    152,203.68x = 17,690,419,315.85
  5. Step 5: Solve for x
    x = 17,690,419,315.85/152,203.68
  6. Step 6: Final answer
    x = 116,228.59

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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.