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Finding the Fourth Proportional to 152,690.73, 210,713.45 and 84,707.70

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Solution

The fourth proportional to 152,690.73, 210,713.45 and 84,707.70 is: 116,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,690.73 : 210,713.45 = 84,707.70 : x
  2. Step 2: Convert to fraction form
    152,690.73/210,713.45 = 84,707.70/x
  3. Step 3: Cross multiply
    152,690.73x = 210,713.45 × 84,707.70
  4. Step 4: Simplify right side
    152,690.73x = 17,849,052,710.51
  5. Step 5: Solve for x
    x = 17,849,052,710.51/152,690.73
  6. Step 6: Final answer
    x = 116,896.76

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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.