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Finding the Fourth Proportional to 152,689.32, 210,711.80 and 84,707.64

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Solution

The fourth proportional to 152,689.32, 210,711.80 and 84,707.64 is: 116,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,689.32 : 210,711.80 = 84,707.64 : x
  2. Step 2: Convert to fraction form
    152,689.32/210,711.80 = 84,707.64/x
  3. Step 3: Cross multiply
    152,689.32x = 210,711.80 × 84,707.64
  4. Step 4: Simplify right side
    152,689.32x = 17,848,899,298.15
  5. Step 5: Solve for x
    x = 17,848,899,298.15/152,689.32
  6. Step 6: Final answer
    x = 116,896.84

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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.