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Finding the Fourth Proportional to 152,783.91, 210,837.86 and 84,798.89

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Solution

The fourth proportional to 152,783.91, 210,837.86 and 84,798.89 is: 117,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,783.91 : 210,837.86 = 84,798.89 : x
  2. Step 2: Convert to fraction form
    152,783.91/210,837.86 = 84,798.89/x
  3. Step 3: Cross multiply
    152,783.91x = 210,837.86 × 84,798.89
  4. Step 4: Simplify right side
    152,783.91x = 17,878,816,601.08
  5. Step 5: Solve for x
    x = 17,878,816,601.08/152,783.91
  6. Step 6: Final answer
    x = 117,020.28

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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.