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Finding the Fourth Proportional to 152,857.16, 210,943.32 and 84,874.28

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Solution

The fourth proportional to 152,857.16, 210,943.32 and 84,874.28 is: 117,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,857.16 : 210,943.32 = 84,874.28 : x
  2. Step 2: Convert to fraction form
    152,857.16/210,943.32 = 84,874.28/x
  3. Step 3: Cross multiply
    152,857.16x = 210,943.32 × 84,874.28
  4. Step 4: Simplify right side
    152,857.16x = 17,903,662,405.81
  5. Step 5: Solve for x
    x = 17,903,662,405.81/152,857.16
  6. Step 6: Final answer
    x = 117,126.75

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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.