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Finding the Fourth Proportional to 152,773.61, 210,824.40 and 84,786.63

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Solution

The fourth proportional to 152,773.61, 210,824.40 and 84,786.63 is: 117,003.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,773.61 : 210,824.40 = 84,786.63 : x
  2. Step 2: Convert to fraction form
    152,773.61/210,824.40 = 84,786.63/x
  3. Step 3: Cross multiply
    152,773.61x = 210,824.40 × 84,786.63
  4. Step 4: Simplify right side
    152,773.61x = 17,875,090,397.77
  5. Step 5: Solve for x
    x = 17,875,090,397.77/152,773.61
  6. Step 6: Final answer
    x = 117,003.79

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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.