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Finding the Fourth Proportional to 152,782.84, 210,853.02 and 84,806.20

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Solution

The fourth proportional to 152,782.84, 210,853.02 and 84,806.20 is: 117,039.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,782.84 : 210,853.02 = 84,806.20 : x
  2. Step 2: Convert to fraction form
    152,782.84/210,853.02 = 84,806.20/x
  3. Step 3: Cross multiply
    152,782.84x = 210,853.02 × 84,806.20
  4. Step 4: Simplify right side
    152,782.84x = 17,881,643,384.72
  5. Step 5: Solve for x
    x = 17,881,643,384.72/152,782.84
  6. Step 6: Final answer
    x = 117,039.61

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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.