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Finding the Fourth Proportional to 152,649.30, 210,666.24 and 84,687.87

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Solution

The fourth proportional to 152,649.30, 210,666.24 and 84,687.87 is: 116,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,649.30 : 210,666.24 = 84,687.87 : x
  2. Step 2: Convert to fraction form
    152,649.30/210,666.24 = 84,687.87/x
  3. Step 3: Cross multiply
    152,649.30x = 210,666.24 × 84,687.87
  4. Step 4: Simplify right side
    152,649.30x = 17,840,875,146.51
  5. Step 5: Solve for x
    x = 17,840,875,146.51/152,649.30
  6. Step 6: Final answer
    x = 116,874.92

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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.