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Finding the Fourth Proportional to 152,399.88, 210,309.61 and 84,416.63

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Solution

The fourth proportional to 152,399.88, 210,309.61 and 84,416.63 is: 116,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,399.88 : 210,309.61 = 84,416.63 : x
  2. Step 2: Convert to fraction form
    152,399.88/210,309.61 = 84,416.63/x
  3. Step 3: Cross multiply
    152,399.88x = 210,309.61 × 84,416.63
  4. Step 4: Simplify right side
    152,399.88x = 17,753,628,532.81
  5. Step 5: Solve for x
    x = 17,753,628,532.81/152,399.88
  6. Step 6: Final answer
    x = 116,493.72

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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.